Journal of Inequalities and Applications
Volume 2006 (2006), Article ID 091420, 7 pages
doi:10.1155/JIA/2006/91420

Turan's inequality for appell polynomials

Slavko Simic

Mathematical Institute SANU, Kneza Mihaila 35, Belgrade 11001, Serbia and Montenegro

Received 31 October 2003; Accepted 22 November 2003

Copyright © 2006 Slavko Simic. 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

We give some necessary and sufficient conditions for the class of Appell polynomials to satisfy well-known Turan's inequality. Among the other corollaries, we apply our results to some classes of orthogonal polynomials.