ON AN INDEPENDENT RESULT USING ORDER STATISTICS AND THEIR CONCOMITANT
AYYUB
SHEIKHI
DEPARTMENT OF STATISTICS,
FACULTY OF MATHEMATICS AND COMPUTER,
SHAHID BAHONAR UNIVERSITY OF KERMAN, KERMAN, IRAN.
author
text
article
2017
eng
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.
Journal of Mahani Mathematical Research Center
Shahid Bahonar University of Kerman
2251-7952
4
v.
1
no.
2017
1
10
http://jmmrc.uk.ac.ir/article_1639_5e75efa944a3db8888dcef95b66b1bc2.pdf
dx.doi.org/10.22103/jmmrc.2017.1639
A numerical method for solving delay-fractional differential and integro-differential equations
E.
Sokhanvar
Department of Mathematics, Faculty of Science and New Technologies, Graduate
University of Advanced Technology, Kerman, Iran
author
A.
Askari-Hemmat
Department of Applied Mathematics, Faculty of Mathematics and Computer,
Shahid Bahonar University of Kerman, Kerman, Iran
author
text
article
2017
eng
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.
Journal of Mahani Mathematical Research Center
Shahid Bahonar University of Kerman
2251-7952
4
v.
1
no.
2017
11
24
http://jmmrc.uk.ac.ir/article_1643_ab1b1c02daeece686fb2bcca2abd080e.pdf
dx.doi.org/10.22103/jmmrc.2017.1643
USING FRAMES OF SUBSPACES IN GALERKIN AND RICHARDSON METHODS FOR SOLVING OPERATOR EQUATIONS
Hassan
Jamali
Department of Mathematics, Faculty of Mathematics and computer Sciences, Vali-e-Asr University of Rasanjan, Rafsanjan, Iran.
author
Mohsen
Kolahdouz
Department of Mathematics, Faculty of Mathematics and computer Sciences, Vali-e-Asr University of Rasanjan, Rafsanjan, Iran.
author
text
article
2017
eng
In this paper, two iterative methods are constructed to solve the operator equation $ Lu=f $ where $L:H\rightarrow 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.
Journal of Mahani Mathematical Research Center
Shahid Bahonar University of Kerman
2251-7952
4
v.
1
no.
2017
25
37
http://jmmrc.uk.ac.ir/article_1655_f23efe2107a18f6e62306dc46f09179e.pdf
dx.doi.org/10.22103/jmmrc.2017.1655