University of MaraghehSahand Communications in Mathematical Analysis2322-580703120160201A new sequence space and norm of certain matrix operators on this space11218569ENHadi RoopaeiDepartment of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran.Davoud ForoutanniaDepartment of Mathematics, Vali-e-Asr University of Rafsanjan,
Rafsanjan, Iran.Journal Article20151006In the present paper, we introduce the sequence space [{l_p}(E,Delta) = left{ x = (x_n)_{n = 1}^infty : sum_{n = 1}^infty left| sum_{j in {E_n}} x_j - sum_{j in E_{n + 1}} x_jright| ^p < infty right},] where $E=(E_n)$ is a partition of finite subsets of the positive integers and $pge 1$. We investigate its topological properties and inclusion relations. Moreover, we consider the problem of finding the norm of certain matrix operators from $l_p$ into $ l_p(E,Delta)$, and apply our results to Copson and Hilbert matrices.University of MaraghehSahand Communications in Mathematical Analysis2322-580703120160201The approximate solutions of Fredholm integral equations on Cantor sets within local fractional operators132017845ENHassan Kamil JassimDepartment of Mathematics, Faculty of Education for Pure Sciences, University of Thi-Qar, Nasiriyah, Iraq.Journal Article20150821In this paper, we apply the local fractional Adomian decomposition and variational iteration methods to obtain the analytic approximate solutions of Fredholm integral equations of the second kind within local fractional derivative operators. The iteration procedure is based on local fractional derivative. The obtained results reveal that the proposed methods are very efficient and simple tools for solving local fractional integral equations.University of MaraghehSahand Communications in Mathematical Analysis2322-580703120160201Some properties of fuzzy real numbers212718685ENBayaz DarabyDepartment of Mathematics, Faculty of Science, University of Maragheh, Maragheh, Iran.Javad JafariDepartment of Mathematics, Faculty of Science, University of Maragheh, Maragheh, Iran.Journal Article20150809In the mathematical analysis, there are some theorems and definitions that established for both real and fuzzy numbers.
In this study, we try to prove Bernoulli's inequality in fuzzy real numbers with some of its applications. Also, we prove two other theorems in fuzzy real numbers which are proved before, for real numbers.University of MaraghehSahand Communications in Mathematical Analysis2322-580703120160201Some study on the growth properties of entire functions represented by vector valued Dirichlet series in the light of relative Ritt orders293518094ENSanjib DattaDepartment of Mathematics, University of Kalyani, P.O.-Kalyani, Dist-Nadia, PIN-\ 741235, West Bengal, India.Tanmay BiswasRajbari, Rabindrapalli, R. N. Tagore Road, P.O.-Krishnagar, Dist-Nadia, PIN-741101, West Bengal, India.Pranab DasDepartment of Mathematics, University of Kalyani, P.O.-Kalyani, Dist-Nadia, PIN-741235, West Bengal, India.Journal Article20150726For entire functions, the notions of their growth indicators such as Ritt order are classical in complex analysis. But the concepts of relative Ritt order of entire functions and as well as their technical advantages of not comparing with the growths of $exp exp z$ are not at all known to the researchers of this area. Therefore the studies of the growths of entire functions in the light of their relative Ritt order are the prime concern of this paper. Actually in this paper we establish some newly developed results related to the growth rates of entire functions on the basis of their relative Ritt order (respectively, relative Ritt lower order).University of MaraghehSahand Communications in Mathematical Analysis2322-580703120160201Numerical solution of a class of nonlinear two-dimensional integral equations using Bernoulli polynomials375115994ENSohrab BazmDepartment of Mathematics, Faculty of Science, University of Maragheh, Maragheh, Iran.Journal Article20151029In this study, the Bernoulli polynomials are used to obtain an approximate solution of a class of nonlinear two-dimensional integral equations. To this aim, the operational matrices of integration and the product for Bernoulli polynomials are derived and utilized to reduce the considered problem to a system of nonlinear algebraic equations. Some examples are presented to illustrate the efficiency and accuracy of the method.University of MaraghehSahand Communications in Mathematical Analysis2322-580703120160201On strongly Jordan zero-product preserving maps536118096ENAli Reza KhoddamiDepartment of Pure Mathematics, University of Shahrood, P. O. Box 3619995161-316, Shahrood, Iran.Journal Article20150731In this paper, we give a characterization of strongly Jordan zero-product preserving maps on normed algebras as a generalization of Jordan zero-product preserving maps. In this direction, we give some illustrative examples to show that the notions of strongly zero-product preserving maps and strongly Jordan zero-product preserving maps are completely different. Also, we prove that the direct product and the composition of two strongly Jordan zero-product preserving maps are again strongly Jordan zero-product preserving maps. But this fact is not the case for tensor product of them in general. Finally, we prove that every $*-$preserving linear map from a normed $*-$algebra into a $C^*-$algebra that strongly preserves Jordan zero-products is necessarily continuous.University of MaraghehSahand Communications in Mathematical Analysis2322-580703120160201Parabolic starlike mappings of the unit ball $B^n$637017820ENSamira RahroviDepartment of Mathematics, Faculty of Basic Science, University of Bonab, P.O. Box 5551-761167, Bonab, Iran.Journal Article20150513Let $f$ be a locally univalent function on the unit disk $U$. We consider the normalized extensions of $f$ to the Euclidean unit ball $B^nsubseteqmathbb{C}^n$ given by $$Phi_{n,gamma}(f)(z)=left(f(z_1),(f'(z_1))^gammahat{z}right),$$ where $gammain[0,1/2]$, $z=(z_1,hat{z})in B^n$ and $$Psi_{n,beta}(f)(z)=left(f(z_1),(frac{f(z_1)}{z_1})^betahat{z}right),$$ in which $betain[0,1]$, $f(z_1)neq 0$ and $z=(z_1,hat{z})in B^n$. In the case $gamma=1/2$, the function $Phi_{n,gamma}(f)$ reduces to the well known Roper-Suffridge extension operator. By using different methods, we prove that if $f$ is parabolic starlike mapping on $U$ then $Phi_{n,gamma}(f)$ and $Psi_{n,beta}(f)$ are parabolic starlike mappings on $B^n$.