2015
4
4
0
0
Classical Wavelet Transforms over Finite Fields
2
2
This article introduces a systematic study for computational aspects of classical wavelet transforms over finite fields using tools from computational harmonic analysis and also theoretical linear algebra. We present a concrete formulation for the Frobenius norm of the classical wavelet transforms over finite fields. It is shown that each vector defined over a finite field can be represented as a finite coherent sum of classical wavelet coefficients.
1

241
257


A.
Ghaani Farashahi
University of Vienna
University of Vienna
Iran
arash.ghaani.farashahi@univie.ac.at
Finite field
classical wavelet group
classical wavelet transforms
dilation operators
Duals and approximate duals of gframes in Hilbert spaces
2
2
In this paper we get some results and applications for duals and approximate duals of gframes in Hilbert spaces. In particular, we consider the stability of duals and approximate duals under bounded operators and we study duals and approximate duals of gframes in the direct sum of Hilbert spaces. We also obtain some results for perturbations of approximate duals.
1

259
265


M
Mirzaee Azandaryani
Department of Mathematics, Faculty of Science,
University of Qom, Qom, Iran
Department of Mathematics, Faculty of Science,
Un
Iran
morteza_ma62@yahoo.com


A
Khosravi
Faculty of Mathematical Sciences
and Computer, Kharazmi University, Tehran, Iran
Faculty of Mathematical Sciences
and Computer,
Iran
khosravi_amir@yahoo.com
Frame
gframe
duality
approximate duality
Generalized superconnectedness
2
2
A. Csaszar introduced and extensively studied the notionof generalized open sets. Following Csazar, we introduce a new notionsuperconnected. The main purpose of this paper is to study generalizedsuperconnected spaces. Various characterizations of generalized superconnected spaces and preservation theorems are discussed.
1

267
273


R
Messaoud
university of Gafsa Tunisia
university of Gafsa Tunisia
Iran
rimessaoud@yahoo.fr


E
Bouassida
topoolgy
topoolgy
Iran
basdourimed@yahoo.fr


B
Ghanmi
Topology
Topology
Iran
basdourimd@yahoo.fr


A
missaoui
Topology
Topology
Iran
rimoud@yahoo.fr
Generalized topology
connected
Superconnected
Quotient Arens regularity of L1(G)
2
2
Let $mathcal{A}$ be a Banach algebra with BAI and $E$ be an introverted subspace of $mathcal{A'}$.In this paper we study the quotient Arens regularity of $mathcal{A}$ with respect to $E$ and prove that the group algebra $L^1(G)$ for a locally compact group $G$, is quotient Arens regular with respect to certain introverted subspace $E$ of $L^infty(G)$.Some related result are given as well.
1

275
281


A
ZivariKazempour
Department of Mathematics, University of Ayatollah Borujerdi, Borujerd, Iran
Department of Mathematics, University of
Iran
zivari6526@gmail.com
Arens product
Quotient Arens regular
Introverted subspace
Weakly almost periodic
Some results on higher numerical ranges and radii of quaternion matrices
2
2
Let $n$ and $k$ be two positive integers, $kleq n$ and $A$ be an $n$square quaternion matrix. In this paper, some results on the $k$numerical range of $A$ are investigated. Moreover, the notions of $k$numerical radius, right $k$spectral radius and $k$norm of $A$ are introduced, and some of their algebraic properties are studied.
1

283
288


G
Aghamollaei
Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran
Department of Pure Mathematics, Faculty of
Iran
aghamollaei@uk.ac.ir


N
Haj Aboutalebi
Department of Mathematics, Shahrood Branch, Islamic Azad University, Shahrood, Iran
Department of Mathematics, Shahrood Branch,
Iran
nargesaboutalebi@yahoo.ca
$k$numerical radius
right $k$spectral radius
$k$norm
quaternion matrices
A numerical solution of mixed Volterra Fredholm integral equations of Urysohn type on nonrectangular regions using meshless methods
2
2
In this paper, we propose a new numerical method for solution of Urysohn two dimensional mixed VolterraFredholm integral equations of the second kind on a nonrectangular domain. The method approximates the solution by the discrete collocation method based on inverse multiquadric radialbasis functions (RBFs) constructed on a set of disordered data. The method is a meshless method, because it is independent of the geometry of the domain and it does not require any background interpolation or approximation cells. The error analysisof the method is provided. Numerical results are presented, which confirm the theoretical prediction of the convergence behavior of the proposed method.
1

289
304


M
Nili Ahmadabadi
Iran
mneely59@hotmail.com


H
Laeli Dastjerdi
Education ministry
Education ministry
Iran
hojatld@gmail.com
Mixed VolterraFredholm integral equations
Collocation method
Radial basis functions
Meshless method
Numerical treatment
A new Approximation to the solution of the linear matrix equation AXB = C
2
2
It is wellknown that the matrix equations play a significant role in several applications in science and engineering. There are various approaches either direct methods or iterative methods to evaluate the solution of these equations. In this research article, the homotopy perturbation method (HPM) will employ to deduce the approximated solution of the linear matrix equation in the form AXB=C. Furthermore, the conditions will be explored to check the convergence of the homotopy series. Numerical examples are also adapted to illustrate the properties of the modified method.
1

305
315


A
Sadeghi
Department of Mathematics, Robat Karim Branch, Islamic Azad University, Tehran, Iran.
Department of Mathematics, Robat Karim Branch,
Iran
drsadeghi.iau@gmail.com
Matrix equation
Homotopy perturbation method
Diagonally dominant matrix
Convergence, Iterative method