Generalized Tschebyscheff-II weighted polynomials on simplicial domain
Abstract
In this paper, we construct generalized Tschebyscheff-type weighted orthogonal polynomials Un,r(γ,M,N)(u,v,w), γ > −1, in the Bernstein-Bézer form over the simplicial domain. We show that Un,r(γ,M,N)(u,v,w), r = 0,1,...,n; n=0,1,2,..., form an orthogonal system over a triangular domain with respect to the generalized weight function.
Copyright © 2015 Mohammad A. AlQudah. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
M. A. AlQudah, Generalized Tschebyscheff-II weighted polynomials on simplicial domain, J. Math. Comput. Sci. 5 (2015), 737–751.
BibTeX
@article{AlQudah2015,
author = {AlQudah, Mohammad A.},
title = {Generalized Tschebyscheff-II weighted polynomials on simplicial domain},
journal = {J. Math. Comput. Sci.},
volume = {5},
year = {2015},
pages = {737--751},
doi = {}
}