2015
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ON AN INDEPENDENT RESULT USING ORDER STATISTICS AND THEIR CONCOMITANT
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2
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.
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1
10


AYYUB
SHEIKHI
DEPARTMENT OF STATISTICS,
FACULTY OF MATHEMATICS AND COMPUTER,
SHAHID BAHONAR UNIVERSITY OF KERMAN, KERMAN, IRAN.
DEPARTMENT OF STATISTICS,
FACULTY OF MATHEMATICS
Iran
sheikhy.a@uk.ac.ir
skew normal
order statistics
concomitants
independence
multivariate exchangeable normal distribution
matrix normal
Kronecker product
A numerical method for solving delayfractional differential and integrodifferential equations
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2
This article develops a direct method for solving numerically multi delayfractional differential and integrodifferential 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 of
solving 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.
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11
24


E.
Sokhanvar
Department of Mathematics, Faculty of Science and New Technologies, Graduate
University of Advanced Technology, Kerman, Iran
Department of Mathematics, Faculty
Iran
e.sokhanvarmahani@student.kgut.ac.ir


A.
AskariHemmat
Department of Applied Mathematics, Faculty of Mathematics and Computer,
Shahid Bahonar University of Kerman, Kerman, Iran
Department of Applied Mathematics, Facul
Iran
askari@uk.ac.ir
Delayfractional differential and integrodifferential equations
Galerkin method
Legendre polynomials
USING FRAMES OF SUBSPACES IN GALERKIN AND RICHARDSON METHODS FOR SOLVING OPERATOR EQUATIONS
2
2
In this paper, two iterative methods are constructed to solve the operator equation $ Lu=f $ where $L:Hrightarrow H $ is a bounded, invertible and selfadjoint 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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25
37


Hassan
Jamali
Department of Mathematics, Faculty of Mathematics and computer Sciences, ValieAsr University of Rasanjan, Rafsanjan, Iran.
Department of Mathematics, Faculty
Iran
jamali@vru.ac.ir


Mohsen
Kolahdouz
Department of Mathematics, Faculty of Mathematics and computer Sciences, ValieAsr University of Rasanjan, Rafsanjan, Iran.
Department of Mathematics, Faculty
Iran
mkolahdouz@post.vru.ac.ir
Hilbert spaces
Operator equation
Frame
Frames of subspaces
Richardson method
Galerkin method