University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2
1
2015
06
01
Some relationship between G-frames and frames
1
7
EN
Mehdi
Rashidi-Kouchi
Department of Mathematics, Islamic Azad University, Kahnooj Branch,
Kahnooj, Iran.
m_rashidi@kahnoojiau.ac.ir
Akbar
Nazari
Department of Mathematics, Shahid Bahonar University, Kerman, Iran.
nazari@mail.uk.ac.ir
In this paper we proved that every g-Riesz basis for Hilbert space $H$ with respect to $K$ by adding a condition is a Riesz basis for Hilbert $B(K)$-module $B(H,K)$. This is an extension of [A. Askarizadeh, M. A. Dehghan, {em G-frames as special frames}, Turk. J. Math., 35, (2011) 1-11]. Also, we derived similar results for g-orthonormal and orthogonal bases. Some relationships between dual frame, dual g-frame and exact frame and exact g-frame are presented too.
Frame,G-Frame,Hilbert C*-module,g-frame operator,Bounded operator
http://scma.maragheh.ac.ir/article_11699.html
http://scma.maragheh.ac.ir/article_11699_ca0b66c4ecad6b41c794d5d431bf3ae4.pdf
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2
1
2015
06
01
Comparison of acceleration techniques of analytical methods for solving differential equations of integer and fractional order
9
17
EN
H. R.
Marasi
Department of Mathematics, University of Bonab, Bonab, Iran.
hamidreza.marasi@gmail.com
M.
Daneshbastam
Department of Mathematics, University of Bonab, Bonab, Iran.
daneshmojtaba79@gmail.com
The work addressed in this paper is a comparative study between convergence of the acceleration techniques, diagonal pad'{e} approximants and shanks transforms, on Homotopy analysis method and Adomian decomposition method for solving differential equations of integer and fractional orders.
Adomiam decomposition method,Homotopy analysis method,Acceleration technique,shanks transorm,Pade approximant
http://scma.maragheh.ac.ir/article_12551.html
http://scma.maragheh.ac.ir/article_12551_8cf65492824ba48dbdbe15b865ff9e55.pdf
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2
1
2015
06
01
Superstability of $m$-additive maps on complete non--Archimedean spaces
19
25
EN
Ismail
Nikoufar
Department of Mathematics, Payame Noor University, P.O. Box 19395-3697 Tehran, Iran.
nikoufar@pnu.ac.ir
The stability problem of the functional equation was conjectured by Ulam and was solved by Hyers in the case of additive mapping. Baker et al. investigated the superstability of the functional equation from a vector space to real numbers. In this paper, we exhibit the superstability of $m$-additive maps on complete non--Archimedean spaces via a fixed point method raised by Diaz and Margolis.
Superstability,Complete non--Archimedean spaces,$m$-additive functional equation
http://scma.maragheh.ac.ir/article_12841.html
http://scma.maragheh.ac.ir/article_12841_21859c865b8aa0796f00b73363ba862a.pdf
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2
1
2015
06
01
Analytical solutions for the fractional Fisher's equation
27
49
EN
H.
Kheiri
Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran.
h-kheiri@tabrizu.ac.ir
A.
Mojaver
Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran.
aida_mojaver1987@yahoo.com
S.
Shahi
Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran.
samane sh7@yahoo.com
In this paper, we consider the inhomogeneous time-fractional nonlinear Fisher equation with three known boundary conditions. We first apply a modified Homotopy perturbation method for translating the proposed problem to a set of linear problems. Then we use the separation variables method to solve obtained problems. In examples, we illustrate that by right choice of source term in the modified Homotopy perturbation method, it is possible to get an exact solution.
Fractional Fisher's equation,Mittag-Leffer,Method of separating variables
http://scma.maragheh.ac.ir/article_11562.html
http://scma.maragheh.ac.ir/article_11562_5eaf48316c9984fbcf48d22c32127de1.pdf
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2
1
2015
06
01
Weighted composition operators between growth spaces on circular and strictly convex domain
51
56
EN
Shayesteh
Rezaei
Department of Pure Mathematics, Aligudarz Branch, Islamic Azad
University, Aligudarz, Iran.
sh.rezaei@iau-aligudarz.ac.ir
Let $Omega_X$ be a bounded, circular and strictly convex domain of a Banach space $X$ and $mathcal{H}(Omega_X)$ denote the space of all holomorphic functions defined on $Omega_X$. The growth space $mathcal{A}^omega(Omega_X)$ is the space of all $finmathcal{H}(Omega_X)$ for which $$|f(x)|leqslant C omega(r_{Omega_X}(x)),quad xin Omega_X,$$ for some constant $C>0$, whenever $r_{Omega_X}$ is the Minkowski functional on $Omega_X$ and $omega :[0,1)rightarrow(0,infty)$ is a nondecreasing, continuous and unbounded function. Boundedness and compactness of weighted composition operators between growth spaces on circular and strictly convex domains were investigated.
Weighted composition operator,Growth space,Circular domain
http://scma.maragheh.ac.ir/article_12376.html
http://scma.maragheh.ac.ir/article_12376_c69c8af693fb13fb851b69d01a5f63cd.pdf
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2
1
2015
06
01
Convergence analysis of product integration method for nonlinear weakly singular Volterra-Fredholm integral equations
57
69
EN
Parviz
Darania
Department of Mathematics, Faculty of Science, Urmia University, P.O.Box 165, Urmia-Iran
p.darania@urmia.ac.ir
Jafar
Ahmadi Shali
Department of Mathematics and Computer Science, University of Tabriz, Tabriz-Iran
j ahmadishali@tabrizu.ac.ir
In this paper, we studied the numerical solution of nonlinear weakly singular Volterra-Fredholm integral equations by using the product integration method. Also, we shall study the convergence behavior of a fully discrete version of a product integration method for numerical solution of the nonlinear Volterra-Fredholm integral equations. The reliability and efficiency of the proposed scheme are demonstrated by some numerical experiments.
Volterra-Fredholm integral equations,Product integration method,Convergence analysis
http://scma.maragheh.ac.ir/article_12353.html
http://scma.maragheh.ac.ir/article_12353_35fac8b4fc64368273a268e5b499aac7.pdf
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2
1
2015
06
01
Composition operators acting on weighted Hilbert spaces of analytic functions
71
79
EN
Mostafa
Hassanlou
Shahid Bakeri High Education Center of Miandoab, Urmia University,
Urmia, Iran.
m_hasanloo@tabrizu.ac.ir
In this paper, we considered composition operators on weighted Hilbert spaces of analytic functions and observed that a formula for the essential norm, gives a Hilbert-Schmidt characterization and characterizes the membership in Schatten-class for these operators. Also, closed range composition operators are investigated.
Composition operators,Weighted analytic space,Hilbert-Schmidt,Schatten-class
http://scma.maragheh.ac.ir/article_12356.html
http://scma.maragheh.ac.ir/article_12356_e453111f3d3e0c47afab4c470745ab38.pdf