IJPAM: Volume 99, No. 3 (2015)

CONSTRUCTION OF TCHEBYSHEV-II WEIGHTED
ORTHOGONAL POLYNOMIALS ON TRIANGULAR

Mohammad A. AlQudah
Department of Mathematics
Northwood University
Midland, MI 48640 USA


Abstract. We construct Tchebyshev-II (second kind) weighted orthogonal polynomials $\mathscr{U}_{n,r}^{(\gamma)}(u,v,w),$ $\gamma>-1,$ on the triangular domain $T.$ We show that $\mathscr{U}_{n,r}^{(\gamma)}(u,v,w),$ $n=0,1,2,\dots,$ $r=0,1,\dots,n,$ form an orthogonal system over $T$ with respect to the Tchebyshev-II weight function.

Received: November 18, 2014

AMS Subject Classification: 42C05, 33C45, 33C70

Key Words and Phrases: Tchebyshev, orthogonal, triangular, Bernstein, bivariate

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DOI: 10.12732/ijpam.v99i3.9 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 99
Issue: 3
Pages: 343 - 354


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