University of MaraghehSahand Communications in Mathematical Analysis2322-580701220141201A unified theoretical harmonic analysis approach to the cyclic wavelet transform (CWT) for periodic signals of prime dimensions11711272ENArash Ghaani FarashahiNumerical Harmonic Analysis Group (NuHAG), Faculty of Mathematics, University of Vienna, Vienna, Austria.0000-0003-1580-512XMozhgan Mohammad-PourFaculty of Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran.Journal Article20140615The article introduces cyclic dilation groups and finite affine groups for prime integers, and as an application of this theory it presents a unified group theoretical approach for the cyclic wavelet transform (CWT) of prime dimensional periodic signals.University of MaraghehSahand Communications in Mathematical Analysis2322-580701220141201On X ̃-frames and conjugate systems in Banach spaces192911273ENMigdad IsmailovDepartment of Non-harmonic analysis, Institute of Mathematics and Mechanics of NAS of Azerbaijan, Baku, Azerbaijan.Afet JabrailovaDepartment of Functional analysis, Institute of Mathematics and Mechanics of NAS of Azerbaijan, Baku, Azerbaijan.Journal Article20140425The generalization of p-frame in Banach spaces is considered in this paper. The concepts of an $\tilde{X}$-frame and a system conjugate to $\tilde{X}$-frame were introduced. Analogues of the results on the existence of conjugate system were obtained. The stability of $\tilde{X}$-frame having a conjugate system is studied.University of MaraghehSahand Communications in Mathematical Analysis2322-580701220141201On a sequence related to the coprime integers313711274ENMehdi HassaniDepartment of Mathematics, University of Zanjan University Blvd., 45371-38791, Zanjan.Journal Article20130220The asymptotic behaviour of the sequence with general term $P_n=(\varphi(1)+\varphi(2)+\cdots+\varphi(n))/(1+2+\cdots+n)$, is studied which appears in the studying of coprime integers, and an explicit bound for the difference $P_n-6/\pi^2$ is found.University of MaraghehSahand Communications in Mathematical Analysis2322-580701220141201A Class of compact operators on homogeneous spaces394511275ENFatemah EsmaeelzadehDepartment of Mathematics, Bojnourd Branch, Islamic Azad University, Bojnourd, Iran.Rajab Ali Kamyabi GolDepartment of Mathematics, Center of Excellency in Analysis on Algebraic
Structures(CEAAS), Ferdowsi University of Mashhad, P. O. Box 1159, Mashhad
91775, Iran.Reihaneh Raisi TousiDepartment of Mathematics, Ferdowsi University of Mashhad, P. O. Box 1159,
Mashhad 91775, Iran.Journal Article20130905Let $\varpi$ be a representation of the homogeneous space $G/H$, where $G$ be a locally compact group and $H$ be a compact subgroup of $G$. For an admissible wavelet $\zeta$ for $\varpi$ and $\psi \in L^p(G/H),\ \ 1\leq p <\infty$, we determine a class of bounded compact operators which are related to continuous wavelet transforms on homogeneous spaces and they are called localization operators.University of MaraghehSahand Communications in Mathematical Analysis2322-580701220141201Nonstandard finite difference schemes for differential equations475411277ENMohammad Mehdizadeh KhalsaraeiDepartment of Mathematics, Faculty of Science, University of Maragheh,
Maragheh, Iran.Fayyaz KhodadostiDepartment of Mathematics, Faculty of Science, University of Maragheh,
Maragheh, Iran.0000-0003-4315-3907Journal Article20140501In this paper, the reorganization of the denominator of the discrete derivative and nonlocal approximation of nonlinear terms are used in the design of nonstandard finite difference schemes (NSFDs). Numerical examples confirming then efficiency of schemes, for some differential equations are provided. In order to illustrate the accuracy of the new NSFDs, the numerical results are compared with standard methods.University of MaraghehSahand Communications in Mathematical Analysis2322-580701220141201Simulation study on copulas556311278ENSinem Tuğba Şahin TekinGazi University, Faculty of Science, Statistics Department, Ankara,
Turkey.Vadoud NajjariGazi University, Faculty of Science, Statistics Department, Ankara,
Turkey.H. Hasan ÖrkcüGazi University, Faculty of Science, Statistics Department, Ankara,
Turkey.Journal Article20140101There are several theorical results about order statistics and copulas in the literature that have been mentioned also by Nelsen \cite{p20}. The present study after reviewing some of these results, relies on simulation technique to investigate the mentioned results about order statistics and copulas. The study concentrates on two well known Archimedean Gumbel and Frank families in the case that marginal functions $F(k)$ and $G(k)$ have different distributions.University of MaraghehSahand Communications in Mathematical Analysis2322-580701220141201Characterization of fuzzy complete normed space and fuzzy b-complete set657511280ENHamid Reza MoradiDepartment of Mathematics, Qaemshhar Branch, Islamic Azad University, Qaemshahr, Iran.Journal Article20140530The present paper introduces the notion of the complete fuzzy norm on a linear space. And, some relations between the fuzzy completeness and ordinary completeness on a linear space is considered, moreover a new form of fuzzy compact spaces, namely b-compact spaces and b-closed spaces are introduced. Some characterizations of their properties are obtained.University of MaraghehSahand Communications in Mathematical Analysis2322-580701220141201Commutative curvature operators over four-dimensional generalized symmetric spaces779011282ENAli Haji-BadaliFaculty of Basic Sciences, University of Bonab, , P.O.Box 5551761167,
Bonab, Iran.Masoud DehghanDepartment of Mathematics, Faculty of Science, University of ABCD,
P.O.Box xxxx, City, Country.Fereshteh NourmohammadiFaculty of Basic Sciences, University of Bonab, , P.O.Box 5551761167,
Bonab, Iran.Journal Article20141026Commutative properties of four-dimensional generalized symmetric pseudo-Riemannian manifolds were considered. Specially, in this paper, we studied Skew-Tsankov and Jacobi-Tsankov conditions in 4-dimensional pseudo-Riemannian generalized symmetric manifolds.