@article {
author = {Ghaani Farashahi, Arash and Mohammad-Pour, Mozhgan},
title = {A unified theoretical harmonic analysis approach to the cyclic wavelet transform (CWT) for periodic signals of prime dimensions},
journal = {Sahand Communications in Mathematical Analysis},
volume = {01},
number = {2},
pages = {1-17},
year = {2014},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {},
abstract = {The 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.},
keywords = {Cyclic wavelet transform (CWT),Finite affine group,Prime integer,Digital signal processing},
url = {https://scma.maragheh.ac.ir/article_11272.html},
eprint = {https://scma.maragheh.ac.ir/article_11272_6b84bf3354fa5ed03323941d3c72b4b1.pdf}
}
@article {
author = {Ismailov, Migdad and Jabrailova, Afet},
title = {On X ̃-frames and conjugate systems in Banach spaces},
journal = {Sahand Communications in Mathematical Analysis},
volume = {01},
number = {2},
pages = {19-29},
year = {2014},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {},
abstract = {The 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.},
keywords = {p-frames,X ̃-frames,Conjugate systems to X ̃},
url = {https://scma.maragheh.ac.ir/article_11273.html},
eprint = {https://scma.maragheh.ac.ir/article_11273_0356133177a286fc7ca41146dd50c9bf.pdf}
}
@article {
author = {Hassani, Mehdi},
title = {On a sequence related to the coprime integers},
journal = {Sahand Communications in Mathematical Analysis},
volume = {01},
number = {2},
pages = {31-37},
year = {2014},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {},
abstract = {The 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.},
keywords = {Euler function,Coprime integers,Asymptotic behaviour of the sequence},
url = {https://scma.maragheh.ac.ir/article_11274.html},
eprint = {https://scma.maragheh.ac.ir/article_11274_868c353aa19d64f70c97af5928061b30.pdf}
}
@article {
author = {Esmaeelzadeh, Fatemah and Kamyabi Gol, Rajab Ali and Raisi Tousi, Reihaneh},
title = {A Class of compact operators on homogeneous spaces},
journal = {Sahand Communications in Mathematical Analysis},
volume = {01},
number = {2},
pages = {39-45},
year = {2014},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {},
abstract = {Let $\varpi$ 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.},
keywords = {Homogenous space,Square integrable representation,Admissible wavelet,Localization operator},
url = {https://scma.maragheh.ac.ir/article_11275.html},
eprint = {https://scma.maragheh.ac.ir/article_11275_2af10d7d0a659c8c7a3a2841a2740d7d.pdf}
}
@article {
author = {Mehdizadeh Khalsaraei, Mohammad and Khodadosti, Fayyaz},
title = {Nonstandard finite difference schemes for differential equations},
journal = {Sahand Communications in Mathematical Analysis},
volume = {01},
number = {2},
pages = {47-54},
year = {2014},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {},
abstract = {In 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.},
keywords = {Finite difference,Nonstandard,Singular,Predator-prey model,Heat equation},
url = {https://scma.maragheh.ac.ir/article_11277.html},
eprint = {https://scma.maragheh.ac.ir/article_11277_67e5a322d5f3525fa2ef0d9962143089.pdf}
}
@article {
author = {Tekin, Sinem Tuğba Şahin and Najjari, Vadoud and Örkcü, H. Hasan},
title = {Simulation study on copulas},
journal = {Sahand Communications in Mathematical Analysis},
volume = {01},
number = {2},
pages = {55-63},
year = {2014},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {},
abstract = {There 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.},
keywords = {Copulas,Order statistics,Generating random variables,Goodness of fit test},
url = {https://scma.maragheh.ac.ir/article_11278.html},
eprint = {https://scma.maragheh.ac.ir/article_11278_1b52ef412e1b8b424118ff6f5aaa80c8.pdf}
}
@article {
author = {Moradi, Hamid Reza},
title = {Characterization of fuzzy complete normed space and fuzzy b-complete set},
journal = {Sahand Communications in Mathematical Analysis},
volume = {01},
number = {2},
pages = {65-75},
year = {2014},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {},
abstract = {The 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.},
keywords = {Fuzzy Set,Normed Space,Complete Set},
url = {https://scma.maragheh.ac.ir/article_11280.html},
eprint = {https://scma.maragheh.ac.ir/article_11280_7a399dbd2cdc54a494672cf68cd9ec1a.pdf}
}
@article {
author = {Haji-Badali, Ali and Dehghan, Masoud and Nourmohammadi, Fereshteh},
title = {Commutative curvature operators over four-dimensional generalized symmetric spaces},
journal = {Sahand Communications in Mathematical Analysis},
volume = {01},
number = {2},
pages = {77-90},
year = {2014},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {},
abstract = {Commutative 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.},
keywords = {Commutative manifold,Pseudo-Riemannian manifold,Cyclic parallel,Locally conformally flat,Curvature operator},
url = {https://scma.maragheh.ac.ir/article_11282.html},
eprint = {https://scma.maragheh.ac.ir/article_11282_d1c0396d2d6f9125c2483b14036ea9bd.pdf}
}