University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
01
2
2014
12
01
A unified theoretical harmonic analysis approach to the cyclic wavelet transform (CWT) for periodic signals of prime dimensions
1
17
EN
Arash
Ghaani Farashahi
Numerical Harmonic Analysis Group (NuHAG), Faculty of Mathematics, University of Vienna, Vienna, Austria.
arash.ghaani.farashahi@univie.ac.at
Mozhgan
Mohammad-Pour
Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran.
mozhgan.mohammadpour@stu.um.ac.ir
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.
Cyclic wavelet transform (CWT),Finite affine group,Prime integer,Digital signal processing
https://scma.maragheh.ac.ir/article_11272.html
https://scma.maragheh.ac.ir/article_11272_6b84bf3354fa5ed03323941d3c72b4b1.pdf
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
01
2
2014
12
01
On X ̃-frames and conjugate systems in Banach spaces
19
29
EN
Migdad
Ismailov
Department of Non-harmonic analysis, Institute of Mathematics and Mechanics of NAS of Azerbaijan, Baku, Azerbaijan.
miqdadismailov1@rambler.ru
Afet
Jabrailova
Department of Functional analysis, Institute of Mathematics and Mechanics of NAS of Azerbaijan, Baku, Azerbaijan.
afet.cebrayilova@mail.ru
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.
p-frames,X ̃-frames,Conjugate systems to X ̃
https://scma.maragheh.ac.ir/article_11273.html
https://scma.maragheh.ac.ir/article_11273_0356133177a286fc7ca41146dd50c9bf.pdf
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
01
2
2014
12
01
On a sequence related to the coprime integers
31
37
EN
Mehdi
Hassani
Department of Mathematics, University of Zanjan University Blvd., 45371-38791, Zanjan.
mehdi.hassani@znu.ac.ir
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.
Euler function,Coprime integers,Asymptotic behaviour of the sequence
https://scma.maragheh.ac.ir/article_11274.html
https://scma.maragheh.ac.ir/article_11274_868c353aa19d64f70c97af5928061b30.pdf
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
01
2
2014
12
01
A Class of compact operators on homogeneous spaces
39
45
EN
Fatemah
Esmaeelzadeh
Department of Mathematics, Bojnourd Branch, Islamic Azad University, Bojnourd, Iran.
esmaeelzadeh@boujnourdiau.ac.ir
Rajab Ali
Kamyabi Gol
Department of Mathematics, Center of Excellency in Analysis on Algebraic
Structures(CEAAS), Ferdowsi University of Mashhad, P. O. Box 1159, Mashhad
91775, Iran.
kamyabi@ferdowsi.um.ac.ir
Reihaneh
Raisi Tousi
Department of Mathematics, Ferdowsi University of Mashhad, P. O. Box 1159,
Mashhad 91775, Iran.
raisi@ferdowsi.um.ac.ir
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 $psi in L^p(G/H), 1leq p <infty$, we determine a class of bounded compact operators which are related to continuous wavelet transforms on homogeneous spaces and they are called localization operators.
Homogenous space,Square integrable representation,Admissible wavelet,Localization operator
https://scma.maragheh.ac.ir/article_11275.html
https://scma.maragheh.ac.ir/article_11275_2af10d7d0a659c8c7a3a2841a2740d7d.pdf
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
01
2
2014
12
01
Nonstandard finite difference schemes for differential equations
47
54
EN
Mohammad
Mehdizadeh Khalsaraei
Department of Mathematics, Faculty of Science, University of Maragheh,
Maragheh, Iran.
muhammad.mehdizadeh@gmail.com
Fayyaz
Khodadosti
0000-0003-4315-3907
Department of Mathematics, Faculty of Science, University of Maragheh,
Maragheh, Iran.
fayyaz64dr@gmail.com
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.
Finite difference,Nonstandard,Singular,Predator-prey model,Heat equation
https://scma.maragheh.ac.ir/article_11277.html
https://scma.maragheh.ac.ir/article_11277_67e5a322d5f3525fa2ef0d9962143089.pdf
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
01
2
2014
12
01
Simulation study on copulas
55
63
EN
Sinem Tuğba Şahin
Tekin
Gazi University, Faculty of Science, Statistics Department, Ankara,
Turkey.
sinemsahin@gazi.edu.tr
Vadoud
Najjari
Gazi University, Faculty of Science, Statistics Department, Ankara,
Turkey.
fnajjary@yahoo.com
H. Hasan
Örkcü
Gazi University, Faculty of Science, Statistics Department, Ankara,
Turkey.
hhorkcu@gazi.edu.tr
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.
Copulas,Order statistics,Generating random variables,Goodness of fit test
https://scma.maragheh.ac.ir/article_11278.html
https://scma.maragheh.ac.ir/article_11278_1b52ef412e1b8b424118ff6f5aaa80c8.pdf
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
01
2
2014
12
01
Characterization of fuzzy complete normed space and fuzzy b-complete set
65
75
EN
Hamid Reza
Moradi
Department of Mathematics, Qaemshhar Branch, Islamic Azad University, Qaemshahr, Iran.
hamid moradi 68@yahoo.com
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.
Fuzzy Set,Normed Space,Complete Set
https://scma.maragheh.ac.ir/article_11280.html
https://scma.maragheh.ac.ir/article_11280_7a399dbd2cdc54a494672cf68cd9ec1a.pdf
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
01
2
2014
12
01
Commutative curvature operators over four-dimensional generalized symmetric spaces
77
90
EN
Ali
Haji-Badali
Faculty of Basic Sciences, University of Bonab, , P.O.Box 5551761167,
Bonab, Iran.
haji.badali@bonabu.ac.ir
Masoud
Dehghan
Department of Mathematics, Faculty of Science, University of ABCD,
P.O.Box xxxx, City, Country.
massoud.dehghan@gmail.com
Fereshteh
Nourmohammadi
Faculty of Basic Sciences, University of Bonab, , P.O.Box 5551761167,
Bonab, Iran.
fereshteh−nour87@yahoo.com
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.
Commutative manifold,Pseudo-Riemannian manifold,Cyclic parallel,Locally conformally flat,Curvature operator
https://scma.maragheh.ac.ir/article_11282.html
https://scma.maragheh.ac.ir/article_11282_d1c0396d2d6f9125c2483b14036ea9bd.pdf