International Journal of Mathematics and Mathematical Sciences
Volume 2 (1979), Issue 4, Pages 717-720
doi:10.1155/S0161171279000545

On osculatory interpolation by trigonometric polynomials

D. J. Newman1 and L. A. Rubel2

1Department of Mathematics, Temple University, Philadelphia 19122, Pennsylvania, USA
2Department of Mathematics, University of Illinois, Urbana 61801, Illinois, USA

Received 21 May 1979

Copyright © 1979 D. J. Newman and L. A. Rubel. 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

A short and simple proof is given that osculatory interpolation by trigonometric polynomials is always possible.