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 Carpathian Mathematical Publications   [1 followers]  Follow       Open Access journal    ISSN (Print) 2075-9827    Published by Vasyl Stefanyk Precarpathian National University  [1 journal]
• On a complete topological inverse polycyclic monoid

• Authors: S. O. Bardyla, O. V. Gutik
Abstract: We give sufficient conditions when a topological inverse $\lambda$-polycyclic monoid $P_{\lambda}$ is absolutely $H$-closed in the class of topological inverse semigroups. For every infinite cardinal $\lambda$ we construct the coarsest semigroup inverse topology $\tau_{mi}$ on $P_\lambda$ and give an example of a topological inverse monoid $S$ which contains the polycyclic monoid $P_2$ as a dense discrete subsemigroup.
PubDate: 2016-12-30
Issue No: Vol. 8 (2016)

• Coupled fixed point theorems for weakly compatible mappings along with CLR
property in Menger metric spaces

• Authors: L. Ben Aoua, A. Aliouche
Abstract: Coupled fixed point problems have attracted much attention in recent times. The aim of this paper is to extend the notions of E.A. property, CLR property and JCLR property for coupled mappings in Menger metric space and use this notions to generalizes the recent results of Jian-Zhong Xiao. The main result is supported by a suitable example.
PubDate: 2016-12-30
Issue No: Vol. 8 (2016)

• Extensions of multilinear mappings to powers of linear spaces

• Authors: T. V. Vasylyshyn
Abstract: We consider the question of the possibility to recover a multilinear mapping from the restriction to the diagonal of its extension to a Cartesian power of a space.
PubDate: 2016-12-30
Issue No: Vol. 8 (2016)

• The vertex Zagreb indices of some graph operations

• Authors: N. De
Abstract: Recently, Tavakoli et al. introduced a new version of Zagreb indices, named as vertex Zagreb indices. In this paper explicit expressions of different graphs operations of vertex Zagreb indices are presented and also as an application, explicit formulas for vertex Zagreb indices of some chemical graphs are obtained.
PubDate: 2016-12-30
Issue No: Vol. 8 (2016)

• On the intersection of weighted Hardy spaces

• Authors: V. M. Dilnyi, T. I. Hishchak
Abstract: Let $H^p_\sigma( \mathbb{C}_+),$ $1\leq p <+\infty,$ $0\leq \sigma < +\infty,$ be the space of all functions $f$ analytic in the half plane $\mathbb{C}_{+}= \{ z: \text {Re} z>0 \}$ and such that $$\ f\ :=\sup\limits_{\varphi\in (-\frac{\pi}{2};\frac{\pi}{2})}\left\{\int\limits_0^{+\infty} f(re^{i\varphi}) ^pe^{-p\sigma r \sin \varphi }dr\right\}^{1/p}<+\infty.$$ We obtain some properties and description of zeros for functions from the space $\bigcap\limits_{\sigma>0} H^{p}_{\sigma}(\mathbb C_{+}).$
PubDate: 2016-12-30
Issue No: Vol. 8 (2016)

• A multidimensional generalization of the Rutishauser qd-algorithm

• Authors: R. I. Dmytryshyn
Abstract: In this paper the regular multidimensional C-fraction with independent variables, which is a generalization of regular C-fraction, is considered. An algorithm of calculation of the coefficients of the regular multidimensional C-fraction with independent variables correspondence to a given formal multiple power series is constructed. Necessary and sufficient conditions of the existence of this algorithm are established. The above mentioned algorithm is a multidimensional generalization of the Rutishauser qd-algorithm.
PubDate: 2016-12-30
Issue No: Vol. 8 (2016)

• Analogues of Whittker's theorem for Laplace-Stieltjes integrals

• Authors: M. S. Dobushovskyy, M. M. Sheremeta
Abstract: For the maximum of the integrand of Laplace-Stieltjes integral the lower estimates on sequence are found. Using the estimates we obtained analogues of Whittaker's theorem for entire functions given by lacunary power series.
PubDate: 2016-12-30
Issue No: Vol. 8 (2016)

• Coincidence point theorems for ϕ-ψ-contraction mappings in
metric spaces involving a graph

• Authors: E. Yolacan, H. Kiziltunc, M. Kir
Abstract: Some new coupled coincidence and coupled common fixed point theorems for ϕ-ψ-contraction mappings are established. We have also an application to some integral system to support the results.
PubDate: 2016-12-30
Issue No: Vol. 8 (2016)

• Representation of spectra of algebras of block-symmetric analytic
functions of bounded type

• Authors: V. V. Kravtsiv, A. V. Zagorodnyuk
Abstract: The paper contains a description of symmetric convolution of the algebra of block-symmetric analytic functions of bounded type on $\ell_{1}$-sum of the space $\mathbb{C}^{2}.$ We show that the specrum of such algebra does not coincide of point evaluation functionals and described characters of the algebra as functions of exponential type with plane zeros.
PubDate: 2016-12-30
Issue No: Vol. 8 (2016)

• Pointwise stabilization of the Poisson integral for the diffusion type
equations with inertia

• Authors: H. P. Malytska, I. V. Burtnyak
Abstract: In this paper we consider the pointwise stabilization of the Poisson integral for the diffusion type equations with inertia in the case of finite number of parabolic degeneracy groups. We establish necessary and sufficient conditions of this stabilization for a class of bounded measurable initial functions.
PubDate: 2016-12-30
Issue No: Vol. 8 (2016)

• On generalized complex space forms satisfying certain curvature conditions

• Authors: M. M. Praveena, C. S. Bagewadi
Abstract: We study Ricci soliton $(g,V,\lambda)$ of generalized complex space forms when the Riemannian, Bochner and $W_{2}$ curvature tensors satisfy certain curvature conditions like semi-symmetric, Einstein semi-symmetric, Ricci pseudo symmetric and Ricci generalized pseudo symmetric. In this study it is shown that shrinking, steady and expansion of the generalized complex space forms depends on the solenoidal property of vector $V$. Also we prove that generalized complex space form with conservative Bochner curvature tensor is constant scalar curvature.
PubDate: 2016-12-30
Issue No: Vol. 8 (2016)

• Family of wavelet functions on the Galois function base

• Authors: N. V. Prevysokova
Abstract: We construct a family of wavelet systems on the Galois function base. We research and prove properties of systems of the built family.
PubDate: 2016-12-30
Issue No: Vol. 8 (2016)

• Divisor problem in special sets of Gaussian integers

• Authors: O. V. Savastru
Abstract: Let $A_{1}$ and $A_{2}$ be fixed sets of gaussian integers. We denote by $\tau_{A_{1}, A_{2}}(\omega)$ the number of representations of $\omega$ in form $\omega=\alpha\beta$, where $\alpha \in A_{1}, \beta \in A_{2}$. We construct the asymptotical formula for summatory function $\tau_{A_{1}, A_{2}}(\omega)$ in case, when $\omega$ lie in the arithmetic progression, $A_{1}$ is a fixed sector of complex plane,  $A_{2}=\mathbb{Z}[i]$.
PubDate: 2016-12-30
Issue No: Vol. 8 (2016)

• Application of the functional calculus to solving of infinite dimensional
heat equation

• Authors: S. V. Sharyn
Abstract: In this paper we study infinite dimensional heat equation associated with the Gross Laplacian. Using the functional calculus method, we obtain the solution of appropriate Cauchy problem in the space of polynomial ultradifferentiable functions. The semigroup approach is considered as well.
PubDate: 2016-12-30
Issue No: Vol. 8 (2016)

• Vitaliy Ivanovych Sushchansky (obituary)

• Authors: R. A. Zatorsky
Abstract: 
PubDate: 2016-12-30
Issue No: Vol. 8 (2016)

• A Worpitzky boundary theorem for branched continued fractions of the
special form

• Authors: Kh. Yo. Kuchminska
Abstract: For a branched continued fraction of a special form we propose the limit value set for the Worpitzky-like theorem when the element set of the branched continued fraction is replaced by its boundary.
PubDate: 2016-09-05
Issue No: Vol. 8 (2016)

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