Abstract and Applied Analysis
Volume 2011 (2011), Article ID 294715, 10 pages
Some Identities on Bernstein Polynomials Associated with -Euler Polynomials
1Département de Mathématiques, Université d'Evry Val d'Essonne, Bboulevard F. Mitterrand, 91025 Evry Cedex, France
2Division of General Education-Mathematics, Kwang-Woon University, Seoul 139-701, Republic of Korea
3Department of Wireless Communications Engineering, Kwangwoon University, Seoul 139-701, Republic of Korea
4Department of Mathematics Education, Kyungpook National University, Taegu 702-701, Republic of Korea
Received 11 January 2011; Accepted 11 February 2011
Academic Editor: John Rassias
Copyright © 2011 A. Bayad et al. 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 investigate some interesting properties of the -Euler polynomials. The purpose of this paper is to give some relationships between
Bernstein and -Euler polynomials, which are derived by the -adic integral representation of the Bernstein polynomials associated with -Euler polynomials.