Authors:Journal of Mathematical Extension Abstract: This Special Issue will be based on papers from International Conference on Mathematics:An Istanbul Meeting for World Mathematicians (http://www.icomath.com) that will be held in Istanbul, Turkey, July 3-6, 2018. This conference is concerned with the theory and the applications of mathematical sciences. All topics related to pure and applied mathematics are in the scope of the conference. We aim to bring together mathematicians in Istanbul from all around the world and provide mathematicians to discuss recent developments in both pure and applied mathematics and to develop a professional knowledge exchange platform between mathematicians.Potential authors are strongly advised to submit original papers that report substantial enhancements with respect to the short papers including further results and should acknowledge and cite the conference paper where appropriate. Authors also must obey with the instructions for authors and quality requirements of Journal of Mathematical Extension. All selected papers will be subject to a refereeing process according to the journal standards. Full papers must be submitted through Journal's online submission system. While submitting, authors need to make sure that they specify the paper is a contribution for ‘‘Vol 12. Special Issue for ICOM 2018’’ in Journal Section.The submitted papers will undergo peer review process before they can be accepted. The deadline for submission is August 15, 2018. Notification of acceptance will be communicated as we progress with the review process. PubDate: 2018-06-29 Issue No:Vol. 12 (2018)

Authors:Journal of Mathematical Extension Abstract: This Special Issue will be based on papers from International Conference on Mathematics:An Istanbul Meeting for World Mathematicians (http://www.icomath.com) that will be held in Istanbul, Turkey, July 3-6, 2018. This conference is concerned with the theory and the applications of mathematical sciences. All topics related to pure and applied mathematics are in the scope of the conference. We aim to bring together mathematicians in Istanbul from all around the world and provide mathematicians to discuss recent developments in both pure and applied mathematics and to develop a professional knowledge exchange platform between mathematicians.Potential authors are strongly advised to submit original papers that report substantial enhancements with respect to the short papers including further results and should acknowledge and cite the conference paper where appropriate. Authors also must obey with the instructions for authors and quality requirements of Journal of Mathematical Extension. All selected papers will be subject to a refereeing process according to the journal standards. Full papers must be submitted through Journal's online submission system. While submitting, authors need to make sure that they specify the paper is a contribution for ‘‘Vol 12. Special Issue for ICOM 2018’’ in Journal Section.The submitted papers will undergo peer review process before they can be accepted. The deadline for submission is August 15, 2018. Notification of acceptance will be communicated as we progress with the review process. PubDate: 2018-06-29 Issue No:Vol. 12 (2018)

Authors:Bahram Tarami, Mohsen Avaji Abstract: In the literature, the Euler-Maruyama (EM) method for approximation purposes of stochastic differential Equations (SDE) driven by alph-stable Levy motions is reported. Convergence in probability of this method was proven but it is surrounded by some ambiguities. To accomplish the method without ambiguities, this article has derived convergence in probability of numerical EM method based on diffusion given by semimartingales for SDEs driven by alpha-stable processes. Some examples are provided, their numerical solution are obtained and theoretical results are reconfirmed. The adopted method could be applied to other subclasses of semimartingales. PubDate: 2018-06-29 Issue No:Vol. 12 (2018)

Authors:Bahram Tarami, Mohsen Avaji Abstract: In the literature, the Euler-Maruyama (EM) method for approximation purposes of stochastic differential Equations (SDE) driven by alph-stable Levy motions is reported. Convergence in probability of this method was proven but it is surrounded by some ambiguities. To accomplish the method without ambiguities, this article has derived convergence in probability of numerical EM method based on diffusion given by semimartingales for SDEs driven by alpha-stable processes. Some examples are provided, their numerical solution are obtained and theoretical results are reconfirmed. The adopted method could be applied to other subclasses of semimartingales. PubDate: 2018-06-29 Issue No:Vol. 12 (2018)

Authors:Morad Alizadeh, Haitham M. Yousof, Mahdi Rasekhi, Emrah Altun Abstract: We propose a new class of continuous distributions with two extra shape parameters named the Odd Log-Logistic Poisson-G family. Some of its mathematical properties including moments, quantile and generating functions and order statistics are obtained. We estimate the model parameters by the maximum likelihood method and present a Monte Carlo simulation study. The importance of the proposed family is demonstrated by means of three real data applications. Empirical results indicate that proposed family provides better fits than other well-known classes of distributions in real applications. PubDate: 2018-06-29 Issue No:Vol. 12 (2018)

Authors:Morad Alizadeh, Haitham M. Yousof, Mahdi Rasekhi, Emrah Altun Abstract: We propose a new class of continuous distributions with two extra shape parameters named the Odd Log-Logistic Poisson-G family. Some of its mathematical properties including moments, quantile and generating functions and order statistics are obtained. We estimate the model parameters by the maximum likelihood method and present a Monte Carlo simulation study. The importance of the proposed family is demonstrated by means of three real data applications. Empirical results indicate that proposed family provides better fits than other well-known classes of distributions in real applications. PubDate: 2018-06-29 Issue No:Vol. 12 (2018)

Authors:Mohammad Mursaleen, Taqseer Khan, Md Nasiruzzaman Abstract: In this paper we construct the Stancu type q-Kantrovich-Szasz-Mirakjan operators generated by Dunkl generalization of the exponential function. We obtain some approximation results using the Korovkin approximation theorem for these operators. We also study convergence properties by using the modulus of continuity and the rate of convergence for functions belonging to the Lipschitz class. Furthermore, we obtain the rate of convergence in terms of the classical, the second order, and the weighted modulus of continuity. PubDate: 2018-06-29 Issue No:Vol. 12 (2018)

Authors:Mohammad Mursaleen, Taqseer Khan, Md Nasiruzzaman Abstract: In this paper we construct the Stancu type q-Kantrovich-Szasz-Mirakjan operators generated by Dunkl generalization of the exponential function. We obtain some approximation results using the Korovkin approximation theorem for these operators. We also study convergence properties by using the modulus of continuity and the rate of convergence for functions belonging to the Lipschitz class. Furthermore, we obtain the rate of convergence in terms of the classical, the second order, and the weighted modulus of continuity. PubDate: 2018-06-29 Issue No:Vol. 12 (2018)

Authors:Halimeh Ardakani, S.M.Sadegh MODARRES MOSADEGH, Manijeh Salimi, S. Mohammad MOSHTAGHIOUN Abstract: Following the concept of L-limited sets in dual Banach spacesintroduced by Salimi and Moshtaghioun, we introduce the concept of almostL-limited sets in dual Banach lattices and then by a class of operators onBanach lattices, so called disjoint limited completely continuous operators, wecharacterize Banach lattices in which almost L-limited subsets of their dual,coincide with L-limited sets. PubDate: 2018-06-29 Issue No:Vol. 12 (2018)

Authors:Halimeh Ardakani, S.M.Sadegh MODARRES MOSADEGH, Manijeh Salimi, S. Mohammad MOSHTAGHIOUN Abstract: Following the concept of L-limited sets in dual Banach spacesintroduced by Salimi and Moshtaghioun, we introduce the concept of almostL-limited sets in dual Banach lattices and then by a class of operators onBanach lattices, so called disjoint limited completely continuous operators, wecharacterize Banach lattices in which almost L-limited subsets of their dual,coincide with L-limited sets. PubDate: 2018-06-29 Issue No:Vol. 12 (2018)

Authors:Mansour Ghadiri Abstract: A larger class of algebraic hyperstructures satisfying the group-like axioms is the class of $H_v$-groups. In this paper, without any condition and in general, we define the $H_v$-normal subgroup and the $H_v$-quotient group of a $H_v$-group. We introduce the fundamental equivalence relation of a $H_v$-quotient group and prove the first and third isomorphism theorems for $H_v$-groups. PubDate: 2018-06-29 Issue No:Vol. 12 (2018)

Authors:Mansour Ghadiri Abstract: A larger class of algebraic hyperstructures satisfying the group-like axioms is the class of $H_v$-groups. In this paper, without any condition and in general, we define the $H_v$-normal subgroup and the $H_v$-quotient group of a $H_v$-group. We introduce the fundamental equivalence relation of a $H_v$-quotient group and prove the first and third isomorphism theorems for $H_v$-groups. PubDate: 2018-06-29 Issue No:Vol. 12 (2018)

Authors:Sima Sargazi, Abolfazl Ebrahimzadeh, Zahra Eslami Giski Abstract: In this paper, we introduce a new kind of the logical entropy through a local relative approach. The notions of local relative logical entropy and local relative conditional logical entropy from an observer's viewpoint on local relative probability measure space are introduced and some of their ergodic properties are studied. Some properties of the local relative logical entropy of independent partitions are investigated and the concavity property for the local relative logical entropy has been proved. We show that, the basic properties of Shannon entropy of partitions on probability measure spaces, are established for the case of the local relative logical entropy. So the suggested measures can be used besides of the Shannon entropy of partitions. Using the concept of the local relative logical entropy of partitions, we define the local relative logical entropy of a dynamical system and present some of its properties. Finally, it is shown that the local relative logical entropy of dynamical systems is invariant under isomorphism. PubDate: 2018-06-29 Issue No:Vol. 12 (2018)

Authors:Sima Sargazi, Abolfazl Ebrahimzadeh, Zahra Eslami Giski Abstract: In this paper, we introduce a new kind of the logical entropy through a local relative approach. The notions of local relative logical entropy and local relative conditional logical entropy from an observer's viewpoint on local relative probability measure space are introduced and some of their ergodic properties are studied. Some properties of the local relative logical entropy of independent partitions are investigated and the concavity property for the local relative logical entropy has been proved. We show that, the basic properties of Shannon entropy of partitions on probability measure spaces, are established for the case of the local relative logical entropy. So the suggested measures can be used besides of the Shannon entropy of partitions. Using the concept of the local relative logical entropy of partitions, we define the local relative logical entropy of a dynamical system and present some of its properties. Finally, it is shown that the local relative logical entropy of dynamical systems is invariant under isomorphism. PubDate: 2018-06-29 Issue No:Vol. 12 (2018)

Authors:Ahmad Mehrabi, Hamidreza Rahimi Abstract: The main purpose of this paper is to investigate weak amenability of semigroup algebras. We relate this to a new notion of weak amenability modulo an ideal of Banach algebras. As an important result, we show that $l^1(S)$ is weakly amenable modulo $I_{\sigma}$, where $I_{\sigma}$ is the corresponding ideal of the group congruence $\sigma$. PubDate: 2018-06-29 Issue No:Vol. 12 (2018)

Authors:Ahmad Mehrabi, Hamidreza Rahimi Abstract: The main purpose of this paper is to investigate weak amenability of semigroup algebras. We relate this to a new notion of weak amenability modulo an ideal of Banach algebras. As an important result, we show that $l^1(S)$ is weakly amenable modulo $I_{\sigma}$, where $I_{\sigma}$ is the corresponding ideal of the group congruence $\sigma$. PubDate: 2018-06-29 Issue No:Vol. 12 (2018)

Authors:Mohammad Heydari, Tayebeh Dehghan Niri, Seyed Mohammad Mehdi Hosseini Abstract: Iterative methods for optimization can be classified into two categories: line search methods and trust region methods. In this paper, we propose a modified regularized Newton method without line search for minimizing nonconvex functions whose Hessian matrix may be singular. The proposed method is proved to converge globally if the Gradient and Hessian of the objective function are Lipschitz continuous. Moreover, we report numerical results that show that the proposed algorithm is competitive with the existing methods. PubDate: 2018-06-29 Issue No:Vol. 12 (2018)

Authors:Olubunmi Abidemi Fadipe-Joseph, Nafisat A. Adeniran, O. J. Windare Abstract: In this work, a new subclass of function, $G_\lambda(n, \mu, \lambda):n \in N_0, \mu \geq 1, \\0 \leq \lambda \leq 1$, was defined using the S\v{a}l\v{a}gean differential operator involving the modified sigmoid function and subordination principle. The initial coefficient bounds and the Fekete-Szego functional of this class were obtained. PubDate: 2018-06-29 Issue No:Vol. 12 (2018)

Authors:Hüseyin BUDAK, Mehmet Zeki SARIKAYA Abstract: In this paper, some new inequality for generalized convex functions are obtained. Some applications for some generalized special means are also given. PubDate: 2018-06-29 Issue No:Vol. 12 (2018)

Authors:Maliheh Tajarrod, Tahereh Sistani Abstract: The numerical range of a simple graph G, named F(G), is the numerical range of its adjacency matrix A(G). The main purpose of this paper was to approximate F(G). Then, using this approximation, bounds for the largest and the smallest eigenvalues of G were proposed. In fact, lower bounds for the largest eigenvalues of G were presented in terms of disjoint induced subgraphs of G and the numerical range of the square of A(G). PubDate: 2018-06-29 Issue No:Vol. 12 (2018)

Authors:Ghasem Soleimani Rad, Kamal Fallahi, Zoran Kadelburg Abstract: In this paper, we define a generalized $c$-distance in $tvs$-cone$b$-metric spaces and introduce some results about its properties.Then we prove some new fixed point and common fixed point results(with the underlying cone which is not normal). Respective resultsconcerning mappings without periodic points are also deduced. Someexamples are presented to validate our obtained results. Anapplication to system of Fredholm integral equations is presented. PubDate: 2018-06-29 Issue No:Vol. 12 (2018)

Authors:Ghasem Barid Loghmani, Ali Mohammad Esmaili Zaini, Ali Mohammad Latif Abstract: Image zooming is one of the important issues of image processing that maintains the quality and structure of image. Zooming an image necessitates placing the extra pixels in the image data. Moreover, adding the data to the image must be consistent with the texture in the image in order to prevent artificial blocks. In this study, the required pixels are estimated using barycentric rational interpolation. The proposed method is a non-linear one which can preserve the edges and reduces the blur and block artifacts on the zoomed image. Numerical results are presented using PSNR and SSIM fidelity measures and they are compared to some other methods. The average PSNR of the original image and image zooming was 33.08 which can prove that image zooming is very similar to the original image. The experimental results revealed that the proposed method had a better performance compared to other methods and could provide good image quality. PubDate: 2018-06-29 Issue No:Vol. 12 (2018)

Authors:Mehmet Zeki Sarikaya, Mohamed BEZZIOU, Zoubir DAHMANI Abstract: In this paper, we introduce new operators on fractional integration that we call (k; s; h)-Riemann-Liouville, (k; s)-Hadamard and (k; s; h)-Hadamard fractional integral operators. We provesome of their properties. Then, using our proposed approaches, we establish some applications oninequalities. PubDate: 2018-06-29 Issue No:Vol. 12 (2018)

Authors:Luis A. Dupont, Daniel Mendoza, Miriam Rodríguez Abstract: We introduce the notions of algebraic and arithmetic derivation. As an application, we use the combinatorial decomposition of an ideal to provide a constructive method to find the algebraic invariants, as the arithmetical rank, for a family of squarefree monomial ideals, the $k$--complete ideals $I_k^n,$ also known as squarefree Veronese ideals of degree $k$. PubDate: 2018-06-29 Issue No:Vol. 12 (2018)

Authors:Mehdi Fatehi Nia Abstract: In this paper we consider shadowing and weak shadowing properties for iterated function systems IFS and give some results on these concepts. At first, a sufficient condition for shadowing property is given and by this result we present two IFS which have the shadowing property. It is proved that every uniformly expanding as well as every uniformly contracting IFS has the weak shadowing property. By an example we show that in IFS's shadowing property does not implies weak shadowing property. Finally we have the main result of the paper and prove that the weak shadowing is a generic property in the set of all IFS's. PubDate: 2018-02-27 Issue No:Vol. 12 (2018)

Authors:Mehdi Fatehi Nia Abstract: In this paper we consider shadowing and weak shadowing properties for iterated function systems IFS and give some results on these concepts. At first, a sufficient condition for shadowing property is given and by this result we present two IFS which have the shadowing property. It is proved that every uniformly expanding as well as every uniformly contracting IFS has the weak shadowing property. By an example we show that in IFS's shadowing property does not implies weak shadowing property. Finally we have the main result of the paper and prove that the weak shadowing is a generic property in the set of all IFS's. PubDate: 2018-02-27 Issue No:Vol. 12 (2018)

Authors:Reza Ezzati, K Maleknejad, Reza Jafari Abstract: In this paper, rst, a numerical method is presented for solving generalized linear andnonlinear Lane-Emden type equations. The operational matrix of derivative is obtainedby introducing hybrid third kind Chebyshev polynomials and Block-pulse functions. Thismatrix with the tau method is then utilized to transform the dierential equation into asystem of algebraic equations. Finally, the convergence analysis is investigated and theeciency of the proposed method is indicated by some numerical examples. PubDate: 2018-02-27 Issue No:Vol. 12 (2018)

Authors:Reza Ezzati, K Maleknejad, Reza Jafari Abstract: In this paper, rst, a numerical method is presented for solving generalized linear andnonlinear Lane-Emden type equations. The operational matrix of derivative is obtainedby introducing hybrid third kind Chebyshev polynomials and Block-pulse functions. Thismatrix with the tau method is then utilized to transform the dierential equation into asystem of algebraic equations. Finally, the convergence analysis is investigated and theeciency of the proposed method is indicated by some numerical examples. PubDate: 2018-02-27 Issue No:Vol. 12 (2018)

Authors:Javad Gerami Abstract: In this paper, we propose a multiple objective linear programing (MOLP) problem, whose feasible region is same of the production possibility set of the data envelopment analysis (DEA) with variable return to scale (VRS).We show that efficient points of the MOLP in outcome space are corresponding to efficient units of DEA and vice versa. We use the outer approximation algorithm for generating all extreme efficient points in the outcome set of the MOLP problem, then, we obtain the extreme efficient units of the VRS DEA. Because it works in the outcome set rather than in the decision set of the MOLP problem, the outer approximation algorithm has several advantages over decision set-based algorithms. It is also relatively easy to implement. We also consider some extensions. PubDate: 2018-02-27 Issue No:Vol. 12 (2018)

Authors:Javad Gerami Abstract: In this paper, we propose a multiple objective linear programing (MOLP) problem, whose feasible region is same of the production possibility set of the data envelopment analysis (DEA) with variable return to scale (VRS).We show that efficient points of the MOLP in outcome space are corresponding to efficient units of DEA and vice versa. We use the outer approximation algorithm for generating all extreme efficient points in the outcome set of the MOLP problem, then, we obtain the extreme efficient units of the VRS DEA. Because it works in the outcome set rather than in the decision set of the MOLP problem, the outer approximation algorithm has several advantages over decision set-based algorithms. It is also relatively easy to implement. We also consider some extensions. PubDate: 2018-02-27 Issue No:Vol. 12 (2018)

Authors:Maboubeh Sanaei, Shervin Sahebi, Hamid H. S. Javadi Abstract: We introduce the notion of J-Armendariz rings, which are a generalization of weak Armendariz rings and investigate their proper- ties. We show that local rings are J-Armendariz. Also, we prove that a ring R is J-Armendariz if and only if R[[x]] is J-Armendariz. It is shown that the J-Armendariz property is not Morita invariant. As a specic case, we show that the class of J-Armendariz rings lies properly between the class of one-sided quasi-duo rings and the class of perspective rings. PubDate: 2018-02-27 Issue No:Vol. 12 (2018)

Authors:Maboubeh Sanaei, Shervin Sahebi, Hamid H. S. Javadi Abstract: We introduce the notion of J-Armendariz rings, which are a generalization of weak Armendariz rings and investigate their proper- ties. We show that local rings are J-Armendariz. Also, we prove that a ring R is J-Armendariz if and only if R[[x]] is J-Armendariz. It is shown that the J-Armendariz property is not Morita invariant. As a specic case, we show that the class of J-Armendariz rings lies properly between the class of one-sided quasi-duo rings and the class of perspective rings. PubDate: 2018-02-27 Issue No:Vol. 12 (2018)

Authors:Zohre Seyed Tabatabaee, Tahereh Roodbarylor Abstract: One of the first constructions of algebra is the quotient field of a commutative integral domain,constructed as a set of fractions, which can lead to a very useful technique in commutative ring theory. In this article the researchers considered rings of fractions for gamma rings and some new characterizations were developed in gamma rings of fractions. PubDate: 2018-02-27 Issue No:Vol. 12 (2018)

Authors:Zohre Seyed Tabatabaee, Tahereh Roodbarylor Abstract: One of the first constructions of algebra is the quotient field of a commutative integral domain,constructed as a set of fractions, which can lead to a very useful technique in commutative ring theory. In this article the researchers considered rings of fractions for gamma rings and some new characterizations were developed in gamma rings of fractions. PubDate: 2018-02-27 Issue No:Vol. 12 (2018)

Authors:S. S. Dragomir Abstract: In this paper we establish a refinement and some reverses forJensen’s inequality for the general Lebesgue integral on divisions of measurablespace. Applications for discrete inequalities and weighted means of positivenumbers are also given. Some examples related to Hermite-Hadamard inequal-ity for convex functions are provided as well. PubDate: 2018-02-27 Issue No:Vol. 12 (2018)

Authors:S. S. Dragomir Abstract: In this paper we establish a refinement and some reverses forJensen’s inequality for the general Lebesgue integral on divisions of measurablespace. Applications for discrete inequalities and weighted means of positivenumbers are also given. Some examples related to Hermite-Hadamard inequal-ity for convex functions are provided as well. PubDate: 2018-02-27 Issue No:Vol. 12 (2018)

Authors:Okkes Ozturk Abstract: Differintegral theorems are applied to solve some ordinary differential equations and fractional differential equations. By using these theorems, we obtain different results in the fractional differintegral forms. In this paper, we aim to solve the radial Schrödinger equation under the potential $ V(r)=H/r^{2}-K/r+Lr^{\kappa} $ in $ \kappa=0,-1,-2 $ cases. We also obtain the solutions in the hypergeometric form. PubDate: 2018-02-27 Issue No:Vol. 12 (2018)

Authors:Okkes Ozturk Abstract: Differintegral theorems are applied to solve some ordinary differential equations and fractional differential equations. By using these theorems, we obtain different results in the fractional differintegral forms. In this paper, we aim to solve the radial Schrödinger equation under the potential $ V(r)=H/r^{2}-K/r+Lr^{\kappa} $ in $ \kappa=0,-1,-2 $ cases. We also obtain the solutions in the hypergeometric form. PubDate: 2018-02-27 Issue No:Vol. 12 (2018)

Authors:Zahra Sadat Mirsaney, Mahboubeh Rezaie Abstract: The purpose of this paper is to show that under reasonable assumptions Debrunner and Flor Theorem can be extended to arbitrary teta-monotone operators.This generalization provides some tools for further analysis of the teta-monotone multivalued operators, which allow us for establishing some key facts related to domains and ranges of teta-maximal monotone operators. PubDate: 2018-02-27 Issue No:Vol. 12 (2018)

Authors:Zahra Sadat Mirsaney, Mahboubeh Rezaie Abstract: The purpose of this paper is to show that under reasonable assumptions Debrunner and Flor Theorem can be extended to arbitrary teta-monotone operators.This generalization provides some tools for further analysis of the teta-monotone multivalued operators, which allow us for establishing some key facts related to domains and ranges of teta-maximal monotone operators. PubDate: 2018-02-27 Issue No:Vol. 12 (2018)