Vol. 7, No. 1, November 2011
Authors: Erdinç Dündar and Bilal Altay
Abstract: In this paper we study the concepts of I-Cauchy, I*-Cauchy sequences for double sequence in a linear metric space and also we investigate I-convergent, I*-convergence for double sequences of functions in a linear metric space and then we show the relation between them.
Authors: O. Ravi, S. Ganesan and S. Chandrasekar
Abstract: In this paper, sg-closed sets and sg-open sets are used to define and investigate a new class of functions. Relationships between this new class and other classes of functions are established.
Authors: Jafar Biazar and Behzad Ghanbari
Abstract: In this paper, a new fifth-order family of methods free from second derivative is obtained. This new iterative family contains the King’s family, which is one of the most well-known family of methods for solving nonlinear equations, and some other known methods as its particular case. To illustrate the efficiency and performance of proposed family, several numerical examples are presented. Numerical results illustrate better efficiency and performance of the presented methods in comparison with the other compared fifth-order methods. Due to that, they can be effectively used for solving nonlinear equations.
Author: Kishan Sharma
Abstract: In this paper a new function called as extended K-function, which is an extension of the generalization of the Mittag-Leffler function [10,11] and its generalized form introduced by Prabhakar , is introduced and studied by the author in terms of some special functions and derived the relations that exists between the extended K-function and the operators of Riemann-Liouville fractional integrals and derivatives.
Authors: A.S.J. Al-Saif and Mohammed J. Al-Kanani
Abstract: In this paper, we propose alternating direction implicit formulation of the differential quadrature method (ADI-DQM) for calculating the numerical solutions of the two-dimensional unsteady state convection-diffusion equation with appropriate initial and boundary conditions. The results confirm that this method has a high accuracy, good convergence and less workload compared with the other numerical methods.
Authors: Shiv Kumar and Balbir Singh
Abstract: In this paper we obtained analogous results of Duffin and Schaeffer  by using a matrix representation of operators on a Hilbert space with Bessel sequences, frames and Riesz bases.
Authors: S. A. M. Mohsenalhosseini, H. Mazaheri, M. A. Dehghan and M. Bagheshahi
Abstract: In this paper we give ky fans approximate best proximity theorem and Picard-Lindeloffs approximate best proximity theorem, then illustrate a few applications where we derive results in fixed point theory, approximation theory, boundary value problems theorem.
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