Some relationship between G-frames and frames
Mehdi
Rashidi-Kouchi
Department of Mathematics, Islamic Azad University, Kahnooj Branch,
Kahnooj, Iran.
author
Akbar
Nazari
Department of Mathematics, Shahid Bahonar University, Kerman, Iran.
author
text
article
2015
eng
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.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
02
v.
1
no.
2015
1
7
https://scma.maragheh.ac.ir/article_11699_ca0b66c4ecad6b41c794d5d431bf3ae4.pdf
Comparison of acceleration techniques of analytical methods for solving differential equations of integer and fractional order
H. R.
Marasi
Department of Mathematics, University of Bonab, Bonab, Iran.
author
M.
Daneshbastam
Department of Mathematics, University of Bonab, Bonab, Iran.
author
text
article
2015
eng
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.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
02
v.
1
no.
2015
9
17
https://scma.maragheh.ac.ir/article_12551_8cf65492824ba48dbdbe15b865ff9e55.pdf
Superstability of $m$-additive maps on complete non--Archimedean spaces
Ismail
Nikoufar
Department of Mathematics, Payame Noor University, P.O. Box 19395-3697 Tehran, Iran.
author
text
article
2015
eng
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.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
02
v.
1
no.
2015
19
25
https://scma.maragheh.ac.ir/article_12841_21859c865b8aa0796f00b73363ba862a.pdf
Analytical solutions for the fractional Fisher's equation
H.
Kheiri
Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran.
author
A.
Mojaver
Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran.
author
S.
Shahi
Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran.
author
text
article
2015
eng
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.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
02
v.
1
no.
2015
27
49
https://scma.maragheh.ac.ir/article_11562_5eaf48316c9984fbcf48d22c32127de1.pdf
Weighted composition operators between growth spaces on circular and strictly convex domain
Shayesteh
Rezaei
Department of Pure Mathematics, Aligudarz Branch, Islamic Azad
University, Aligudarz, Iran.
author
text
article
2015
eng
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.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
02
v.
1
no.
2015
51
56
https://scma.maragheh.ac.ir/article_12376_c69c8af693fb13fb851b69d01a5f63cd.pdf
Convergence analysis of product integration method for nonlinear weakly singular Volterra-Fredholm integral equations
Parviz
Darania
Department of Mathematics, Faculty of Science, Urmia University, P.O.Box 165, Urmia-Iran
author
Jafar
Ahmadi Shali
Department of Mathematics and Computer Science, University of Tabriz, Tabriz-Iran
author
text
article
2015
eng
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.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
02
v.
1
no.
2015
57
69
https://scma.maragheh.ac.ir/article_12353_35fac8b4fc64368273a268e5b499aac7.pdf
Composition operators acting on weighted Hilbert spaces of analytic functions
Mostafa
Hassanlou
Shahid Bakeri High Education Center of Miandoab, Urmia University,
Urmia, Iran.
author
text
article
2015
eng
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.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
02
v.
1
no.
2015
71
79
https://scma.maragheh.ac.ir/article_12356_e453111f3d3e0c47afab4c470745ab38.pdf