Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid 22110, Jordan
Copyright © 2005 A. Rababah and M. 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.
We construct Jacobi-weighted orthogonal polynomials
, on the triangular domain . We show that these polynomials over the triangular domain satisfy the following properties: , and for . And hence, , , form an orthogonal system over the triangular
domain with respect to the Jacobi weight function. These
Jacobi-weighted orthogonal polynomials on triangular domains are
given in Bernstein basis form and thus preserve many properties of
the Bernstein polynomial basis.