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MATHEMATICS (775 journals)                  1 2 3 4 | Last

Showing 1 - 200 of 538 Journals sorted alphabetically
Abakós     Open Access   (Followers: 5)
Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg     Hybrid Journal   (Followers: 4)
Academic Voices : A Multidisciplinary Journal     Open Access   (Followers: 2)
Accounting Perspectives     Full-text available via subscription   (Followers: 7)
ACM Transactions on Algorithms (TALG)     Hybrid Journal   (Followers: 16)
ACM Transactions on Computational Logic (TOCL)     Hybrid Journal   (Followers: 3)
ACM Transactions on Mathematical Software (TOMS)     Hybrid Journal   (Followers: 6)
ACS Applied Materials & Interfaces     Hybrid Journal   (Followers: 38)
Acta Applicandae Mathematicae     Hybrid Journal   (Followers: 1)
Acta Mathematica     Hybrid Journal   (Followers: 12)
Acta Mathematica Hungarica     Hybrid Journal   (Followers: 2)
Acta Mathematica Scientia     Full-text available via subscription   (Followers: 5)
Acta Mathematica Sinica, English Series     Hybrid Journal   (Followers: 6)
Acta Mathematica Vietnamica     Hybrid Journal  
Acta Mathematicae Applicatae Sinica, English Series     Hybrid Journal  
Advanced Science Letters     Full-text available via subscription   (Followers: 12)
Advances in Applied Clifford Algebras     Hybrid Journal   (Followers: 4)
Advances in Calculus of Variations     Hybrid Journal   (Followers: 6)
Advances in Catalysis     Full-text available via subscription   (Followers: 5)
Advances in Complex Systems     Hybrid Journal   (Followers: 9)
Advances in Computational Mathematics     Hybrid Journal   (Followers: 21)
Advances in Decision Sciences     Open Access   (Followers: 3)
Advances in Difference Equations     Open Access   (Followers: 3)
Advances in Fixed Point Theory     Open Access   (Followers: 8)
Advances in Geosciences (ADGEO)     Open Access   (Followers: 18)
Advances in Linear Algebra & Matrix Theory     Open Access   (Followers: 10)
Advances in Materials Science     Open Access   (Followers: 17)
Advances in Mathematical Physics     Open Access   (Followers: 8)
Advances in Mathematics     Full-text available via subscription   (Followers: 15)
Advances in Nonlinear Analysis     Open Access  
Advances in Numerical Analysis     Open Access   (Followers: 7)
Advances in Operations Research     Open Access   (Followers: 12)
Advances in Porous Media     Full-text available via subscription   (Followers: 5)
Advances in Pure and Applied Mathematics     Hybrid Journal   (Followers: 8)
Advances in Pure Mathematics     Open Access   (Followers: 9)
Advances in Science and Research (ASR)     Open Access   (Followers: 6)
Aequationes Mathematicae     Hybrid Journal   (Followers: 2)
African Journal of Educational Studies in Mathematics and Sciences     Full-text available via subscription   (Followers: 7)
African Journal of Mathematics and Computer Science Research     Open Access   (Followers: 5)
Afrika Matematika     Hybrid Journal   (Followers: 1)
Air, Soil & Water Research     Open Access   (Followers: 13)
AKSIOMA Journal of Mathematics Education     Open Access   (Followers: 2)
Al-Jabar : Jurnal Pendidikan Matematika     Open Access   (Followers: 1)
Algebra and Logic     Hybrid Journal   (Followers: 7)
Algebra Colloquium     Hybrid Journal   (Followers: 4)
Algebra Universalis     Hybrid Journal   (Followers: 2)
Algorithmic Operations Research     Open Access   (Followers: 5)
Algorithms     Open Access   (Followers: 11)
Algorithms Research     Open Access   (Followers: 1)
American Journal of Computational and Applied Mathematics     Open Access   (Followers: 8)
American Journal of Mathematical Analysis     Open Access  
American Journal of Mathematical and Management Sciences     Hybrid Journal  
American Journal of Mathematics     Full-text available via subscription   (Followers: 6)
American Journal of Operations Research     Open Access   (Followers: 6)
American Mathematical Monthly     Full-text available via subscription   (Followers: 6)
An International Journal of Optimization and Control: Theories & Applications     Open Access   (Followers: 11)
Anadol University Journal of Science and Technology B : Theoritical Sciences     Open Access  
Analele Universitatii Ovidius Constanta - Seria Matematica     Open Access  
Analysis and Applications     Hybrid Journal   (Followers: 1)
Analysis and Mathematical Physics     Hybrid Journal   (Followers: 6)
Analysis Mathematica     Full-text available via subscription  
Analysis. International mathematical journal of analysis and its applications     Hybrid Journal   (Followers: 4)
Annales Mathematicae Silesianae     Open Access   (Followers: 2)
Annales mathématiques du Québec     Hybrid Journal   (Followers: 4)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica     Open Access   (Followers: 1)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica     Open Access  
Annali di Matematica Pura ed Applicata     Hybrid Journal   (Followers: 1)
Annals of Combinatorics     Hybrid Journal   (Followers: 4)
Annals of Data Science     Hybrid Journal   (Followers: 13)
Annals of Discrete Mathematics     Full-text available via subscription   (Followers: 7)
Annals of Mathematics     Full-text available via subscription   (Followers: 2)
Annals of Mathematics and Artificial Intelligence     Hybrid Journal   (Followers: 13)
Annals of PDE     Hybrid Journal  
Annals of Pure and Applied Logic     Open Access   (Followers: 4)
Annals of the Alexandru Ioan Cuza University - Mathematics     Open Access  
Annals of the Institute of Statistical Mathematics     Hybrid Journal   (Followers: 1)
Annals of West University of Timisoara - Mathematics     Open Access  
Annals of West University of Timisoara - Mathematics and Computer Science     Open Access   (Followers: 1)
Annuaire du Collège de France     Open Access   (Followers: 6)
ANZIAM Journal     Open Access   (Followers: 1)
Applicable Algebra in Engineering, Communication and Computing     Hybrid Journal   (Followers: 3)
Applications of Mathematics     Hybrid Journal   (Followers: 3)
Applied Categorical Structures     Hybrid Journal   (Followers: 4)
Applied Computational Intelligence and Soft Computing     Open Access   (Followers: 14)
Applied Mathematics     Open Access   (Followers: 4)
Applied Mathematics     Open Access   (Followers: 8)
Applied Mathematics & Optimization     Hybrid Journal   (Followers: 10)
Applied Mathematics - A Journal of Chinese Universities     Hybrid Journal   (Followers: 1)
Applied Mathematics and Nonlinear Sciences     Open Access  
Applied Mathematics Letters     Full-text available via subscription   (Followers: 4)
Applied Mathematics Research eXpress     Hybrid Journal   (Followers: 1)
Applied Network Science     Open Access   (Followers: 3)
Applied Numerical Mathematics     Hybrid Journal   (Followers: 5)
Applied Spatial Analysis and Policy     Hybrid Journal   (Followers: 6)
Arab Journal of Mathematical Sciences     Open Access   (Followers: 4)
Arabian Journal of Mathematics     Open Access   (Followers: 2)
Archive for Mathematical Logic     Hybrid Journal   (Followers: 3)
Archive of Applied Mechanics     Hybrid Journal   (Followers: 6)
Archive of Numerical Software     Open Access  
Archives of Computational Methods in Engineering     Hybrid Journal   (Followers: 6)
Arkiv för Matematik     Hybrid Journal   (Followers: 1)
Armenian Journal of Mathematics     Open Access   (Followers: 1)
Arnold Mathematical Journal     Hybrid Journal   (Followers: 1)
Artificial Satellites     Open Access   (Followers: 25)
Asia-Pacific Journal of Operational Research     Hybrid Journal   (Followers: 3)
Asian Journal of Algebra     Open Access   (Followers: 1)
Asian-European Journal of Mathematics     Hybrid Journal   (Followers: 3)
Australian Mathematics Teacher, The     Full-text available via subscription   (Followers: 7)
Australian Primary Mathematics Classroom     Full-text available via subscription   (Followers: 5)
Australian Senior Mathematics Journal     Full-text available via subscription   (Followers: 2)
Automatic Documentation and Mathematical Linguistics     Hybrid Journal   (Followers: 5)
Axioms     Open Access   (Followers: 1)
Baltic International Yearbook of Cognition, Logic and Communication     Open Access   (Followers: 1)
Basin Research     Hybrid Journal   (Followers: 5)
BIBECHANA     Open Access   (Followers: 2)
Biomath     Open Access  
BIT Numerical Mathematics     Hybrid Journal   (Followers: 1)
Boletim Cearense de Educação e História da Matemática     Open Access  
Boletim de Educação Matemática     Open Access  
Boletín de la Sociedad Matemática Mexicana     Hybrid Journal  
Bollettino dell'Unione Matematica Italiana     Full-text available via subscription   (Followers: 2)
British Journal of Mathematical and Statistical Psychology     Full-text available via subscription   (Followers: 20)
Bruno Pini Mathematical Analysis Seminar     Open Access  
Buletinul Academiei de Stiinte a Republicii Moldova. Matematica     Open Access   (Followers: 13)
Bulletin des Sciences Mathamatiques     Full-text available via subscription   (Followers: 4)
Bulletin of Dnipropetrovsk University. Series : Communications in Mathematical Modeling and Differential Equations Theory     Open Access   (Followers: 3)
Bulletin of Mathematical Sciences     Open Access   (Followers: 1)
Bulletin of Symbolic Logic     Full-text available via subscription   (Followers: 2)
Bulletin of the Australian Mathematical Society     Full-text available via subscription   (Followers: 2)
Bulletin of the Brazilian Mathematical Society, New Series     Hybrid Journal  
Bulletin of the Iranian Mathematical Society     Hybrid Journal  
Bulletin of the London Mathematical Society     Hybrid Journal   (Followers: 3)
Bulletin of the Malaysian Mathematical Sciences Society     Hybrid Journal  
Calculus of Variations and Partial Differential Equations     Hybrid Journal  
Canadian Journal of Mathematics / Journal canadien de mathématiques     Hybrid Journal  
Canadian Journal of Science, Mathematics and Technology Education     Hybrid Journal   (Followers: 20)
Canadian Mathematical Bulletin     Hybrid Journal  
Carpathian Mathematical Publications     Open Access   (Followers: 1)
Catalysis in Industry     Hybrid Journal   (Followers: 1)
CEAS Space Journal     Hybrid Journal   (Followers: 2)
CHANCE     Hybrid Journal   (Followers: 5)
Chaos, Solitons & Fractals     Hybrid Journal   (Followers: 3)
Chaos, Solitons & Fractals : X     Open Access  
ChemSusChem     Hybrid Journal   (Followers: 8)
Chinese Annals of Mathematics, Series B     Hybrid Journal  
Chinese Journal of Catalysis     Full-text available via subscription   (Followers: 2)
Chinese Journal of Mathematics     Open Access  
Clean Air Journal     Full-text available via subscription   (Followers: 1)
Cogent Mathematics     Open Access   (Followers: 2)
Cognitive Computation     Hybrid Journal   (Followers: 3)
Collectanea Mathematica     Hybrid Journal  
College Mathematics Journal     Hybrid Journal   (Followers: 4)
COMBINATORICA     Hybrid Journal  
Combinatorics, Probability and Computing     Hybrid Journal   (Followers: 4)
Combustion Theory and Modelling     Hybrid Journal   (Followers: 15)
Commentarii Mathematici Helvetici     Hybrid Journal  
Communications in Advanced Mathematical Sciences     Open Access  
Communications in Combinatorics and Optimization     Open Access  
Communications in Contemporary Mathematics     Hybrid Journal  
Communications in Mathematical Physics     Hybrid Journal   (Followers: 4)
Communications On Pure & Applied Mathematics     Hybrid Journal   (Followers: 4)
Complex Analysis and its Synergies     Open Access   (Followers: 3)
Complex Variables and Elliptic Equations: An International Journal     Hybrid Journal  
Composite Materials Series     Full-text available via subscription   (Followers: 9)
Compositio Mathematica     Full-text available via subscription  
Comptes Rendus Mathematique     Full-text available via subscription  
Computational and Applied Mathematics     Hybrid Journal   (Followers: 4)
Computational and Mathematical Methods     Hybrid Journal  
Computational and Mathematical Methods in Medicine     Open Access   (Followers: 2)
Computational and Mathematical Organization Theory     Hybrid Journal   (Followers: 2)
Computational Complexity     Hybrid Journal   (Followers: 4)
Computational Mathematics and Modeling     Hybrid Journal   (Followers: 10)
Computational Mechanics     Hybrid Journal   (Followers: 5)
Computational Methods and Function Theory     Hybrid Journal  
Computational Optimization and Applications     Hybrid Journal   (Followers: 8)
Computers & Mathematics with Applications     Full-text available via subscription   (Followers: 11)
Concrete Operators     Open Access   (Followers: 5)
Confluentes Mathematici     Hybrid Journal  
Contributions to Game Theory and Management     Open Access  
COSMOS     Hybrid Journal  
Cryptography and Communications     Hybrid Journal   (Followers: 13)
Cuadernos de Investigación y Formación en Educación Matemática     Open Access  
Cubo. A Mathematical Journal     Open Access  
Current Research in Biostatistics     Open Access   (Followers: 8)
Czechoslovak Mathematical Journal     Hybrid Journal   (Followers: 1)
Demographic Research     Open Access   (Followers: 15)
Demonstratio Mathematica     Open Access  
Dependence Modeling     Open Access  
Design Journal : An International Journal for All Aspects of Design     Hybrid Journal   (Followers: 31)
Developments in Clay Science     Full-text available via subscription   (Followers: 1)
Developments in Mineral Processing     Full-text available via subscription   (Followers: 3)
Dhaka University Journal of Science     Open Access  
Differential Equations and Dynamical Systems     Hybrid Journal   (Followers: 4)
Differentsial'nye Uravneniya     Open Access  
Digital Experiences in Mathematics Education     Hybrid Journal  
Discrete Mathematics     Hybrid Journal   (Followers: 8)
Discrete Mathematics & Theoretical Computer Science     Open Access  
Discrete Mathematics, Algorithms and Applications     Hybrid Journal   (Followers: 2)
Discussiones Mathematicae - General Algebra and Applications     Open Access  
Discussiones Mathematicae Graph Theory     Open Access   (Followers: 2)

        1 2 3 4 | Last

Similar Journals
Journal Cover
Aequationes Mathematicae
Journal Prestige (SJR): 0.517
Citation Impact (citeScore): 1
Number of Followers: 2  
  Hybrid Journal Hybrid journal (It can contain Open Access articles)
ISSN (Print) 1420-8903 - ISSN (Online) 0001-9054
Published by Springer-Verlag Homepage  [2573 journals]
  • Correction to: A probabilistic note on the Cauchy functional equation
    • Abstract: A formally correct expression at the end of Section 2 is, however, of awkward form, being not what was intended (due to my inattentiveness) and it may confuse a careful reader.
      PubDate: 2019-04-01
  • A probabilistic note on the Cauchy functional equation
    • Abstract: Abstract In this short note we show that a weak version of Bernstein’s characterization of the normal distribution implies the local integrability of a measurable solution of the Cauchy functional equation; the linearity of a solution of the Cauchy functional equation is an easy consequence of its local integrability. In its turn, this weak version of Bernstein’s theorem can be derived from Cauchy’s theorem.
      PubDate: 2019-04-01
  • Multiadditive functions satisfying certain functional equations
    • Abstract: Abstract As a generalization of a result proved independently by Kurepa and Jurkat on additive functions on \({\mathbb R}\) satisfying certain functional equations, we determine multiadditive functions on \({\mathbb R}^n\) with a positive integer n greater than 1 satisfying certain functional equations similar to those considered in the one variable case.
      PubDate: 2019-04-01
  • Weak law of large numbers for iterates of random-valued functions
    • Abstract: Abstract Given a probability space \( (\Omega , {\mathcal {A}}, P) \) , a complete and separable metric space X with the \( \sigma \) -algebra \( {\mathcal {B}} \) of all its Borel subsets and a \( {\mathcal {B}} \otimes {\mathcal {A}} \) -measurable \( f: X \times \Omega \rightarrow X \) we consider its iterates \( f^n\) defined on \( X \times \Omega ^{{\mathbb {N}}}\) by \(f^0(x, \omega ) = x\) and \( f^n(x, \omega ) = f\big (f^{n-1}(x, \omega ), \omega _n\big )\) for \(n \in {\mathbb {N}}\) and provide a simple criterion for the existence of a probability Borel measure \(\pi \) on X such that for every \( x \in X \) and for every Lipschitz and bounded \(\psi :X \rightarrow {\mathbb {R}}\) the sequence \(\left( \frac{1}{n}\sum _{k=0}^{n-1} \psi \big (f^k(x,\cdot )\big )\right) _{n \in {\mathbb {N}}}\) converges in probability to \(\int _X\psi (y)\pi (dy)\) .
      PubDate: 2019-04-01
  • Continued fraction expansions for the Lambert $$\varvec{W}$$ W function
    • Abstract: Abstract In the first part of the paper we give a new integral representation for the principal branch of the Lambert W function. Then we deduce two continued fraction expansions for this branch. At the end of the paper we study the numerical behavior of the approximants of these expansions.
      PubDate: 2019-04-01
  • On Fermat Diophantine functional equations, little Picard theorem and
    • Abstract: Abstract We discuss equivalence conditions for the non-existence of non-trivial meromorphic solutions to the Fermat Diophantine equation \(f^m(z)+g^n(z)=1\) with integers \(m,n\ge 2\) , from which other approaches to proving the little Picard theorem are discussed.
      PubDate: 2019-04-01
  • Variants on the Berz sublinearity theorem
    • Abstract: Abstract We consider variants on the classical Berz sublinearity theorem, using only DC, the Axiom of Dependent Choices, rather than AC, the Axiom of Choice, which Berz used. We consider thinned versions, in which conditions are imposed on only part of the domain of the function—results of quantifier-weakening type. There are connections with classical results on subadditivity. We close with a discussion of the extensive related literature.
      PubDate: 2019-04-01
  • An extension of Matkowski’s and Wardowski’s fixed point theorems with
           applications to functional equations
    • Abstract: Abstract In this paper, we prove a fixed point theorem for a system of maps on the finite product of metric spaces. Our result generalizes the result of Matkowski (Bull Acad Pol Sci Sér Sci Math Astron Phys 21:323–324, 1973), Cosentino and Vetro (Filomat 28(4):715–722, 2014) and Hardy and Rogers (Can Math Bull 16(2):201–206, 1973) and other results in the literature. Moreover, we have an application for a system of functional equations and an example to illustrate our result.
      PubDate: 2019-04-01
  • Characteristic properties of ellipsoids and convex quadrics
    • Abstract: Abstract This is a survey on various characteristic properties of ellipsoids and convex quadrics in the family of convex hypersurfaces in \({\mathbb {R}}^n\) . The topics under consideration include planar sections and projections, planarity conditions on midsurfaces and shadow-boundaries, intersections of homothetic copies, projective centers, and invariant mappings.
      PubDate: 2019-04-01
  • Extensions of the sine addition law on groups
    • Abstract: Abstract Let G be a group, and let \(\chi \) and \(\mu \) be characters of G. We find the solutions of the functional equation \(f(xy) = f(x)\chi (y) + \mu (x)f(y)\) , \(x,y \in G\) , where \(f:G \rightarrow \mathbb {C}\) is the unknown function. This enables us to solve its Pexiderized version \(f(xy) = g(x)h_1(y) + \mu (x)h_2(y)\) , \(x,y \in G\) , in which \(f,g, h_1, h_2 :G \rightarrow \mathbb {C}\) are the unknown functions.
      PubDate: 2019-04-01
  • Quadratic functions fulfilling an additional condition along hyperbolas or
           the unit circle
    • Abstract: Abstract Let \( S_1 \) denote the set of all pairs (x, y) of real numbers that fulfill the condition \( x^2 - y^2 = 1 \) , and \( S_2 \) denote the set of all pairs (x, y) of real numbers that fulfill the condition \( x^2 + y^2 = 1 \,\) . In this paper we consider quadratic real functions f that satisfy the additional equation \( y^2 f(x) = x^2 f(y) \) under the condition \( (x,y) \in S_i \) \((i=1,2)\) . We prove that each of these conditions implies \( f(x) = f(1) x^2 \) for all \( x \in \mathbb {R} \) .
      PubDate: 2019-04-01
  • An extension of the Hermite–Hadamard inequality for convex and s
           -convex functions
    • Abstract: Abstract The Hermite–Hadamard inequality was extended using iterated integrals by Retkes [Acta Sci Math (Szeged) 74:95–106, 2008]. In this paper we further extend the main results of the above paper for convex and also for s-convex functions in the second sense.
      PubDate: 2019-03-22
  • The space of probabilistic 1-Lipschitz maps
    • Abstract: Abstract We introduce and study the natural notion of probabilistic 1-Lipschitz maps. We use the space of all probabilistic 1-Lipschitz maps to give a new method for the construction of probabilistic metric completion (respectively of probabilistic invariant metric group completion). Our construction is of independent interest. We prove that the space of all probabilistic 1-Lipschitz maps defined on a probabilistic invariant metric group can be endowed with a monoid structure. Next, we explicit the set of all invertible elements of this monoid and characterize probabilistic invariant complete Menger groups by the space of all probabilistic 1-Lipschitz maps in the spirit of the classical Banach–Stone theorem.
      PubDate: 2019-03-21
  • The weak group matrix
    • Abstract: Abstract In this paper,we introduce the weak group matrix defined by the one commutable with its weak group inverse, and consider properties and characterizations of the matrix by applying the core-EP decomposition. In particular,the set of weak group matrices is more inclusive than that of group matrices. We also derive some characterizations of p-EP matrices and i-EP matrices.
      PubDate: 2019-03-16
  • A Tingley’s type problem in n -normed spaces
    • Abstract: Abstract This paper solves a Tingley’s type problem in n-normed spaces and states that for \(n\ge 2\) , every n-isometry on the unit sphere of an n-normed space is an n-isometry on the whole space except the origin 0. Also, using analytical approach we give a short proof to show that for \(n\ge 3\) , any mapping which preserves n-norms of values one and zero is, up to pointwise multiplication by \(\pm 1\) -, a linear n-isometry. This gives a Wigner-type theorem in n-normed spaces which was proven in a recent paper.
      PubDate: 2019-03-05
  • Dynamics of typical Baire-1 functions on a compact $${{\varvec{n}}}$$ n
    • Abstract: Abstract Let M be a compact n-dimensional manifold with \( bB_{1} \) the set of Baire-1 self-maps of M. For \(f\in bB_{1}\) , let \(\Omega (f)=\{\omega (x,f):x\in M\}\) be the collection of \(\omega \) -limit sets generated by f, and \(\Lambda (f)=\cup _{x\in M}\omega (x,f)\) be the set of \(\omega \) -limit points of f. For a typical \(f \in bB_1\) , we show the following: for any \(x\in M\) , the \(\omega \) -limit set \(\omega (x,f)\) is contained in the set of points at which f is continuous, and \(\omega (x,f)\) is an \( \infty \) -adic adding machine; for any \(\varepsilon >0\) , there exists a natural number K such that \(f^{k}(M)\subset B_{\varepsilon }(\Lambda (f))\) whenever \(k>K\) . Moreover, \(f:\Lambda (f)\rightarrow \Lambda (f)\) is a bijection, and \(\Lambda (f)\) is closed. The Hausdorff dimension of \(\Lambda (f)\) is zero, and the collection of \(\omega \) -limit sets \(\Omega (f)\) is closed in the Hausdorff metric space. The function f is not chaotic in the sense of Li–Yorke, nor in the sense of Devaney. The function f is one-to-one, and the m-fold iterate \(f^{m}\) is an element of \(bB_{1}\) for all natural numbers m.
      PubDate: 2019-02-25
  • Iterated joining means
    • Abstract: Abstract Using a simple dynamical system generated by means M and N which are considered on adjacent intervals, we show how to find their joints, that is means extending both M and N. The procedure of joining is a local version of that presented in Jarczyk (Publ. Math. Debr. 91:235–246, 2017). Among joints are those semiconjugating some functions defined by the use of the so-called marginal functions of M and N.
      PubDate: 2019-02-01
  • Simultaneous difference equations on a restricted domain
    • Abstract: Abstract Given a set \(T\subset (0, +\infty )\) , a function \(c:T\rightarrow \mathbb R\) and a real number p we study continuous solutions \(\varphi \) of the simultaneous equations $$\begin{aligned} \varphi (tx)=\varphi (x)+c(t)x^p, \qquad t \in T. \end{aligned}$$ Here \(\varphi \) is defined on an interval \(I\subset (0, +\infty )\) , so the equations are postulated on a restricted domain: for any fixed \(t \in T\) we assume that \(x \in I\) is such that \(tx \in I\) . In the case when T is large in a sense, we determine the form of \(\varphi \) on a non-trivial subinterval of I. The research is a continuation of that of “non-restricted”, where \(I=(0,+\infty )\) , made in Jarczyk (Ann Univ Sci Budapest Sect Comp 40:353–362, 2013).
      PubDate: 2019-02-01
  • A characterization of additive iterative roots of identity with respect to
           invariant subspaces
    • Abstract: Abstract Let \(\mathbb {K}\) be an extension of the field  \(\mathbb {Q}\) of rational numbers. We prove an algebraic characterization of the additive iterative roots of identity defined on a vector space X over the field  \(\mathbb {K}\) which save a Hamel basis of X (a basis of X over  \(\mathbb {Q}\) ). The method is based on a canonical decomposition theorem.
      PubDate: 2019-02-01
  • On the invariance equation for two-variable weighted nonsymmetric
           Bajraktarević means
    • Abstract: Abstract The purpose of this paper is to investigate the invariance of the arithmetic mean with respect to two weighted Bajraktarević means, i.e., to solve the functional equation $$\begin{aligned} \left( \frac{f}{g}\right) ^{\!\!-1}\!\!\left( \frac{tf(x)+sf(y)}{tg(x)+sg(y)}\right) +\left( \frac{h}{k}\right) ^{\!\!-1}\!\!\left( \frac{sh(x)+th(y)}{sk(x)+tk(y)}\right) =x+y \qquad (x,y\in I), \end{aligned}$$ where \(f,g,h,k:I\rightarrow \mathbb {R}\) are unknown continuous functions such that g, k are nowhere zero on I, the ratio functions f / g, h / k are strictly monotone on I, and \(t,s\in \mathbb {R}_+\) are constants different from each other. By the main result of this paper, the solutions of the above invariance equation can be expressed either in terms of hyperbolic functions or in terms of trigonometric functions and an additional weight function. For the necessity part of this result, we will assume that \(f,g,h,k:I\rightarrow \mathbb {R}\) are four times continuously differentiable.
      PubDate: 2019-02-01
School of Mathematical and Computer Sciences
Heriot-Watt University
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