Shahid Bahonar University of Kerman
Journal of Mahani Mathematical Research Center
2251-7952
4
1
2017
05
10
ON AN INDEPENDENT RESULT USING ORDER STATISTICS AND THEIR CONCOMITANT
1
10
EN
AYYUB
SHEIKHI
DEPARTMENT OF STATISTICS,
FACULTY OF MATHEMATICS AND COMPUTER,
SHAHID BAHONAR UNIVERSITY OF KERMAN, KERMAN, IRAN.
sheikhy.a@uk.ac.ir
10.22103/jmmrc.2017.1639
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.
skew normal,order statistics,concomitants,independence,multivariate exchangeable normal distribution,matrix normal,Kronecker
product
http://jmmrc.uk.ac.ir/article_1639.html
http://jmmrc.uk.ac.ir/article_1639_5e75efa944a3db8888dcef95b66b1bc2.pdf
Shahid Bahonar University of Kerman
Journal of Mahani Mathematical Research Center
2251-7952
4
1
2017
05
22
A numerical method for solving delay-fractional differential and integro-differential equations
11
24
EN
E.
Sokhanvar
Department of Mathematics, Faculty of Science and New Technologies, Graduate
University of Advanced Technology, Kerman, Iran
e.sokhanvarmahani@student.kgut.ac.ir
A.
Askari-Hemmat
Department of Applied Mathematics, Faculty of Mathematics and Computer,
Shahid Bahonar University of Kerman, Kerman, Iran
askari@uk.ac.ir
10.22103/jmmrc.2017.1643
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 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.
Delay-fractional differential and integro-differential equations,Galerkin method,Legendre polynomials
http://jmmrc.uk.ac.ir/article_1643.html
http://jmmrc.uk.ac.ir/article_1643_ab1b1c02daeece686fb2bcca2abd080e.pdf
Shahid Bahonar University of Kerman
Journal of Mahani Mathematical Research Center
2251-7952
4
1
2017
06
19
USING FRAMES OF SUBSPACES IN GALERKIN AND RICHARDSON METHODS FOR SOLVING OPERATOR EQUATIONS
25
37
EN
Hassan
Jamali
Department of Mathematics, Faculty of Mathematics and computer Sciences, Vali-e-Asr University of Rasanjan, Rafsanjan, Iran.
jamali@vru.ac.ir
Mohsen
Kolahdouz
Department of Mathematics, Faculty of Mathematics and computer Sciences, Vali-e-Asr University of Rasanjan, Rafsanjan, Iran.
mkolahdouz@post.vru.ac.ir
10.22103/jmmrc.2017.1655
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.
Hilbert spaces,Operator equation,Frame,Frames of subspaces,Richardson method,Galerkin method
http://jmmrc.uk.ac.ir/article_1655.html
http://jmmrc.uk.ac.ir/article_1655_f23efe2107a18f6e62306dc46f09179e.pdf