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International Journal of Mathematics and Mathematical Sciences
Volume 17, Issue 2, Pages 217-226
http://dx.doi.org/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 Hindawi Publishing Corporation. 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,,r2,r)-interpolation problem on the zeros of (1x2)Pn(α)(x)=(1x2)Pn(α,α)(x), α>1, where Pn(α,α)(x) is the Jacobi polynomial of degree n with β=α.