2021-10-20T22:58:26Z
https://scma.maragheh.ac.ir/?_action=export&rf=summon&issue=2211
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2015
02
1
Some relationship between G-frames and frames
Mehdi
Rashidi-Kouchi
Akbar
Nazari
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
2015
06
01
1
7
https://scma.maragheh.ac.ir/article_11699_ca0b66c4ecad6b41c794d5d431bf3ae4.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2015
02
1
Comparison of acceleration techniques of analytical methods for solving differential equations of integer and fractional order
H. R.
Marasi
M.
Daneshbastam
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
2015
06
01
9
17
https://scma.maragheh.ac.ir/article_12551_8cf65492824ba48dbdbe15b865ff9e55.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2015
02
1
Superstability of $m$-additive maps on complete non--Archimedean spaces
Ismail
Nikoufar
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
2015
06
01
19
25
https://scma.maragheh.ac.ir/article_12841_21859c865b8aa0796f00b73363ba862a.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2015
02
1
Analytical solutions for the fractional Fisher's equation
H.
Kheiri
A.
Mojaver
S.
Shahi
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
2015
06
01
27
49
https://scma.maragheh.ac.ir/article_11562_5eaf48316c9984fbcf48d22c32127de1.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2015
02
1
Weighted composition operators between growth spaces on circular and strictly convex domain
Shayesteh
Rezaei
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 $f\in\mathcal{H}(\Omega_X)$ for which $$|f(x)|\leqslant C \omega(r_{\Omega_X}(x)),\quad x\in \Omega_X,$$ 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
2015
06
01
51
56
https://scma.maragheh.ac.ir/article_12376_c69c8af693fb13fb851b69d01a5f63cd.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2015
02
1
Convergence analysis of product integration method for nonlinear weakly singular Volterra-Fredholm integral equations
Parviz
Darania
Jafar
Ahmadi Shali
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
2015
06
01
57
69
https://scma.maragheh.ac.ir/article_12353_35fac8b4fc64368273a268e5b499aac7.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2015
02
1
Composition operators acting on weighted Hilbert spaces of analytic functions
Mostafa
Hassanlou
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
2015
06
01
71
79
https://scma.maragheh.ac.ir/article_12356_e453111f3d3e0c47afab4c470745ab38.pdf