eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2015-06-01
02
1
1
7
11699
مقاله پژوهشی
Some relationship between G-frames and frames
Mehdi Rashidi-Kouchi
m_rashidi@kahnoojiau.ac.ir
1
Akbar Nazari
nazari@mail.uk.ac.ir
2
Department of Mathematics, Islamic Azad University, Kahnooj Branch, Kahnooj, Iran.
Department of Mathematics, Shahid Bahonar University, Kerman, Iran.
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.
http://scma.maragheh.ac.ir/article_11699_ca0b66c4ecad6b41c794d5d431bf3ae4.pdf
Frame
G-Frame
Hilbert C*-module
g-frame operator
Bounded operator
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2015-06-01
02
1
9
17
12551
مقاله پژوهشی
Comparison of acceleration techniques of analytical methods for solving differential equations of integer and fractional order
H. R. Marasi
hamidreza.marasi@gmail.com
1
M. Daneshbastam
daneshmojtaba79@gmail.com
2
Department of Mathematics, University of Bonab, Bonab, Iran.
Department of Mathematics, University of Bonab, Bonab, Iran.
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.
http://scma.maragheh.ac.ir/article_12551_8cf65492824ba48dbdbe15b865ff9e55.pdf
Adomiam decomposition method
Homotopy analysis method
Acceleration technique
shanks transorm
Pade approximant
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2015-06-01
02
1
19
25
12841
مقاله پژوهشی
Superstability of $m$-additive maps on complete non--Archimedean spaces
Ismail Nikoufar
nikoufar@pnu.ac.ir
1
Department of Mathematics, Payame Noor University, P.O. Box 19395-3697 Tehran, Iran.
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.
http://scma.maragheh.ac.ir/article_12841_21859c865b8aa0796f00b73363ba862a.pdf
Superstability
Complete non--Archimedean spaces
$m$-additive functional equation
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2015-06-01
02
1
27
49
11562
مقاله پژوهشی
Analytical solutions for the fractional Fisher's equation
H. Kheiri
h-kheiri@tabrizu.ac.ir
1
A. Mojaver
aida_mojaver1987@yahoo.com
2
S. Shahi
samane sh7@yahoo.com
3
Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran.
Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran.
Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran.
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.
http://scma.maragheh.ac.ir/article_11562_5eaf48316c9984fbcf48d22c32127de1.pdf
Fractional Fisher's equation
Mittag-Leffer
Method of separating variables
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2015-06-01
02
1
51
56
12376
مقاله پژوهشی
Weighted composition operators between growth spaces on circular and strictly convex domain
Shayesteh Rezaei
sh.rezaei@iau-aligudarz.ac.ir
1
Department of Pure Mathematics, Aligudarz Branch, Islamic Azad University, Aligudarz, Iran.
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.
http://scma.maragheh.ac.ir/article_12376_c69c8af693fb13fb851b69d01a5f63cd.pdf
Weighted composition operator
Growth space
Circular domain
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2015-06-01
02
1
57
69
12353
مقاله پژوهشی
Convergence analysis of product integration method for nonlinear weakly singular Volterra-Fredholm integral equations
Parviz Darania
p.darania@urmia.ac.ir
1
Jafar Ahmadi Shali
j ahmadishali@tabrizu.ac.ir
2
Department of Mathematics, Faculty of Science, Urmia University, P.O.Box 165, Urmia-Iran
Department of Mathematics and Computer Science, University of Tabriz, Tabriz-Iran
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.
http://scma.maragheh.ac.ir/article_12353_35fac8b4fc64368273a268e5b499aac7.pdf
Volterra-Fredholm integral equations
Product integration method
Convergence analysis
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2015-06-01
02
1
71
79
12356
مقاله پژوهشی
Composition operators acting on weighted Hilbert spaces of analytic functions
Mostafa Hassanlou
m_hasanloo@tabrizu.ac.ir
1
Shahid Bakeri High Education Center of Miandoab, Urmia University, Urmia, Iran.
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.
http://scma.maragheh.ac.ir/article_12356_e453111f3d3e0c47afab4c470745ab38.pdf
Composition operators
Weighted analytic space
Hilbert-Schmidt
Schatten-class