International Journal of Mathematics and Mathematical Sciences
Volume 17 (1994), Issue 2, Pages 217-226
doi:10.1155/S0161171294000335
On some regular and singular problems of Birkhoff interpolation
Department of Mathematics, California State University, Los Angeles 90032, CA, USA
Received 4 September 1992
Copyright © 1994 N. Jhunjhunwala and J. Prasad. 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.
Abstract
Here we investigate the pure (0,1,…,r−2,r)-interpolation problem on the zeros of (1−x2)Pn(α)(x)=(1−x2)Pn(α,α)(x), α>−1, where Pn(α,α)(x) is the Jacobi polynomial of degree n with β=α.