eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2014-12-01
01
2
1
17
11272
مقاله پژوهشی
A unified theoretical harmonic analysis approach to the cyclic wavelet transform (CWT) for periodic signals of prime dimensions
Arash Ghaani Farashahi
arash.ghaani.farashahi@univie.ac.at
1
Mozhgan Mohammad-Pour
mozhgan.mohammadpour@stu.um.ac.ir
2
Numerical Harmonic Analysis Group (NuHAG), Faculty of Mathematics, University of Vienna, Vienna, Austria.
Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran.
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.
http://scma.maragheh.ac.ir/article_11272_6b84bf3354fa5ed03323941d3c72b4b1.pdf
Cyclic wavelet transform (CWT)
Finite affine group
Prime integer
Digital signal processing
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2014-12-01
01
2
19
29
11273
مقاله پژوهشی
On X ̃-frames and conjugate systems in Banach spaces
Migdad Ismailov
miqdadismailov1@rambler.ru
1
Afet Jabrailova
afet.cebrayilova@mail.ru
2
Department of Non-harmonic analysis, Institute of Mathematics and Mechanics of NAS of Azerbaijan, Baku, Azerbaijan.
Department of Functional analysis, Institute of Mathematics and Mechanics of NAS of Azerbaijan, Baku, Azerbaijan.
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.
http://scma.maragheh.ac.ir/article_11273_0356133177a286fc7ca41146dd50c9bf.pdf
p-frames
X ̃-frames
Conjugate systems to X ̃
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2014-12-01
01
2
31
37
11274
مقاله پژوهشی
On a sequence related to the coprime integers
Mehdi Hassani
mehdi.hassani@znu.ac.ir
1
Department of Mathematics, University of Zanjan University Blvd., 45371-38791, Zanjan.
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.
http://scma.maragheh.ac.ir/article_11274_868c353aa19d64f70c97af5928061b30.pdf
Euler function
Coprime integers
Asymptotic behaviour of the sequence
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2014-12-01
01
2
39
45
11275
مقاله پژوهشی
A Class of compact operators on homogeneous spaces
Fatemah Esmaeelzadeh
esmaeelzadeh@boujnourdiau.ac.ir
1
Rajab Ali Kamyabi Gol
kamyabi@ferdowsi.um.ac.ir
2
Reihaneh Raisi Tousi
raisi@ferdowsi.um.ac.ir
3
Department of Mathematics, Bojnourd Branch, Islamic Azad University, Bojnourd, Iran.
Department of Mathematics, Center of Excellency in Analysis on Algebraic Structures(CEAAS), Ferdowsi University of Mashhad, P. O. Box 1159, Mashhad 91775, Iran.
Department of Mathematics, Ferdowsi University of Mashhad, P. O. Box 1159, Mashhad 91775, Iran.
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.
http://scma.maragheh.ac.ir/article_11275_2af10d7d0a659c8c7a3a2841a2740d7d.pdf
Homogenous space
Square integrable representation
Admissible wavelet
Localization operator
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2014-12-01
01
2
47
54
11277
مقاله پژوهشی
Nonstandard finite difference schemes for differential equations
Mohammad Mehdizadeh Khalsaraei
muhammad.mehdizadeh@gmail.com
1
Fayyaz Khodadosti
fayyaz64dr@gmail.com
2
Department of Mathematics, Faculty of Science, University of Maragheh, Maragheh, Iran.
Department of Mathematics, Faculty of Science, University of Maragheh, Maragheh, Iran.
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.
http://scma.maragheh.ac.ir/article_11277_67e5a322d5f3525fa2ef0d9962143089.pdf
Finite difference
Nonstandard
Singular
Predator-prey model
Heat equation
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2014-12-01
01
2
55
63
11278
مقاله پژوهشی
Simulation study on copulas
Sinem Tuğba Şahin Tekin
sinemsahin@gazi.edu.tr
1
Vadoud Najjari
fnajjary@yahoo.com
2
H. Hasan Örkcü
hhorkcu@gazi.edu.tr
3
Gazi University, Faculty of Science, Statistics Department, Ankara, Turkey.
Gazi University, Faculty of Science, Statistics Department, Ankara, Turkey.
Gazi University, Faculty of Science, Statistics Department, Ankara, Turkey.
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.
http://scma.maragheh.ac.ir/article_11278_1b52ef412e1b8b424118ff6f5aaa80c8.pdf
Copulas
Order statistics
Generating random variables
Goodness of fit test
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2014-12-01
01
2
65
75
11280
مقاله پژوهشی
Characterization of fuzzy complete normed space and fuzzy b-complete set
Hamid Reza Moradi
hamid moradi 68@yahoo.com
1
Department of Mathematics, Qaemshhar Branch, Islamic Azad University, Qaemshahr, Iran.
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.
http://scma.maragheh.ac.ir/article_11280_7a399dbd2cdc54a494672cf68cd9ec1a.pdf
Fuzzy Set
Normed Space
Complete Set
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2014-12-01
01
2
77
90
11282
مقاله پژوهشی
Commutative curvature operators over four-dimensional generalized symmetric spaces
Ali Haji-Badali
haji.badali@bonabu.ac.ir
1
Masoud Dehghan
massoud.dehghan@gmail.com
2
Fereshteh Nourmohammadi
fereshteh−nour87@yahoo.com
3
Faculty of Basic Sciences, University of Bonab, , P.O.Box 5551761167, Bonab, Iran.
Department of Mathematics, Faculty of Science, University of ABCD, P.O.Box xxxx, City, Country.
Faculty of Basic Sciences, University of Bonab, , P.O.Box 5551761167, Bonab, Iran.
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.
http://scma.maragheh.ac.ir/article_11282_d1c0396d2d6f9125c2483b14036ea9bd.pdf
Commutative manifold
Pseudo-Riemannian manifold
Cyclic parallel
Locally conformally flat
Curvature operator