eng
Shahid Bahonar University of Kerman
Journal of Mahani Mathematical Research Center
2251-7952
2251-7952
2017-05-10
4
1
1
10
10.22103/jmmrc.2017.1639
1639
ON AN INDEPENDENT RESULT USING ORDER STATISTICS AND THEIR CONCOMITANT
AYYUB SHEIKHI
sheikhy.a@uk.ac.ir
1
DEPARTMENT OF STATISTICS, FACULTY OF MATHEMATICS AND COMPUTER, SHAHID BAHONAR UNIVERSITY OF KERMAN, KERMAN, IRAN.
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.
http://jmmrc.uk.ac.ir/article_1639_5e75efa944a3db8888dcef95b66b1bc2.pdf
skew normal
order statistics
concomitants
independence
multivariate exchangeable normal distribution
matrix normal
Kronecker
product
eng
Shahid Bahonar University of Kerman
Journal of Mahani Mathematical Research Center
2251-7952
2251-7952
2017-05-22
4
1
11
24
10.22103/jmmrc.2017.1643
1643
A numerical method for solving delay-fractional differential and integro-differential equations
E. Sokhanvar
e.sokhanvarmahani@student.kgut.ac.ir
1
A. Askari-Hemmat
askari@uk.ac.ir
2
Department of Mathematics, Faculty of Science and New Technologies, Graduate University of Advanced Technology, Kerman, Iran
Department of Applied Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran
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.
http://jmmrc.uk.ac.ir/article_1643_ab1b1c02daeece686fb2bcca2abd080e.pdf
Delay-fractional differential and integro-differential equations
Galerkin method
Legendre polynomials
eng
Shahid Bahonar University of Kerman
Journal of Mahani Mathematical Research Center
2251-7952
2251-7952
2017-06-19
4
1
25
37
10.22103/jmmrc.2017.1655
1655
USING FRAMES OF SUBSPACES IN GALERKIN AND RICHARDSON METHODS FOR SOLVING OPERATOR EQUATIONS
Hassan Jamali
jamali@vru.ac.ir
1
Mohsen Kolahdouz
mkolahdouz@post.vru.ac.ir
2
Department of Mathematics, Faculty of Mathematics and computer Sciences, Vali-e-Asr University of Rasanjan, Rafsanjan, Iran.
Department of Mathematics, Faculty of Mathematics and computer Sciences, Vali-e-Asr University of Rasanjan, Rafsanjan, Iran.
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.
http://jmmrc.uk.ac.ir/article_1655_f23efe2107a18f6e62306dc46f09179e.pdf
Hilbert spaces
Operator equation
Frame
Frames of subspaces
Richardson method
Galerkin method