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Open Access Article
1 - Classical Wavelet Transforms over Finite Fields
A. Ghaani FarashahiThis 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 MoreThis 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. Manuscript profile -
Open Access Article
2 - Duals and approximate duals of g-frames in Hilbert spaces
M. Mirzaee Azandaryani A. KhosraviIn this paper we get some results and applications for duals and approximate duals of g-frames 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 g-frames in the MoreIn this paper we get some results and applications for duals and approximate duals of g-frames 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 g-frames in the direct sum of Hilbert spaces. We also obtain some results for perturbations of approximate duals. Manuscript profile -
Open Access Article
3 - Generalized superconnectedness
E. Bouassida B. Ghanmi R. Messaoud A. MissaouiA. 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 superconnec MoreA. 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. Manuscript profile -
Open Access Article
4 - Quotient Arens regularity of $L^1(G)$
A. Zivari-KazempourLet $\mathcal{A}$ be a Banach algebra with BAI and $E$ be an introverted subspace of $\mathcal{A}^\prime$.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 $G$, MoreLet $\mathcal{A}$ be a Banach algebra with BAI and $E$ be an introverted subspace of $\mathcal{A}^\prime$.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. Manuscript profile -
Open Access Article
5 - Some results on higher numerical ranges and radii of quaternion matrices
Gh. Aghamollaei N. Haj Aboutalebi‎Let $n$ and $k$ be two positive integers‎, ‎$k\leq n$ 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 More‎Let $n$ and $k$ be two positive integers‎, ‎$k\leq n$ 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. Manuscript profile -
Open Access Article
6 - A numerical solution of mixed Volterra Fredholm integral equations of Urysohn type on non-rectangular regions using meshless methods
M. Nili Ahmadabadi H. Laeli DastjerdiIn this paper, we propose a new numerical method for solution of Urysohn two dimensional mixed Volterra-Fredholm integral equations of the second kind on a non-rectangular domain. The method approximates the solution by the discrete collocation method based on inverse m MoreIn this paper, we propose a new numerical method for solution of Urysohn two dimensional mixed Volterra-Fredholm integral equations of the second kind on a non-rectangular 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. Manuscript profile -
Open Access Article
7 - A new Approximation to the solution of the linear matrix equation AXB = C
A. SadeghiIt is well-known 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 homo MoreIt is well-known 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. Manuscript profile
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