فهرست مطالب
Journal of Mahani Mathematical Research
Volume:4 Issue: 1, Winter and Spring 2015
- تاریخ انتشار: 1394/02/11
- تعداد عناوین: 3
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Pages 1-10
Let X1;X2;...;Xn have a jointly multivariate exchangeable normal distribution. In this work we investigate another proof of the independence of X and S2 using order statistics. We also assume that (Xi ; Yi); i =1; 2;...; n; jointly distributed in bivariate normal and establish the independence of the mean and the variance of concomitants of order statistics.
Keywords: skew normal, order statistics, concomitants, independence, multivariate exchangeable normal distribution, matrix normal, Kroneckerproduct -
Pages 11-24
This article develops a direct method for solving numerically multi delay-fractional differential and integro-differential equations. A Galerkin method based on Legendre polynomials is implemented for solving linear and nonlinear of equations. The main characteristic behind this approach is that it reduces such problems to those ofsolving a system of algebraic equations. A convergence analysis and an error estimation are also given. Numerical results with comparisons are given to confirm the reliability of the proposed method.
Keywords: Delay-fractional differential, integro-differential equations, Galerkin method, Legendre polynomials -
Pages 25-37
In this paper, two iterative methods are constructed to solve the operator equation $ Lu=f $ where $L:Hrightarrow H $ is a bounded, invertible and self-adjoint linear operator on a separable Hilbert space $ H $. By using the concept of frames of subspaces, which is a generalization of frame theory, we design some algorithms based on Galerkin and Richardson methods, and then we investigate the convergence and optimality of them.
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Keywords: Hilbert spaces, Operator equation, Frame, Frames of subspaces, Richardson method, Galerkin method