Advances in Difference Equations
Volume 2010 (2010), Article ID 305018, 7 pages
doi:10.1155/2010/305018
Research Article

Some Identities of Bernoulli Numbers and Polynomials Associated with Bernstein Polynomials

Min-Soo Kim,1 Taekyun Kim,2 Byungje Lee,3 and Cheon-Seoung Ryoo4

1Department of Mathematics, KAIST, 373-1 Guseong-dong, Yuseong-gu, Daejeon 305-701, Republic of Korea
2Division of General Education-Mathematics, Kwangwoon University, Seoul 139-701, Republic of Korea
3Department of Wireless Communications Engineering, Kwangwoon University, Seoul 139-701, Republic of Korea
4Department of Mathematics, Hannam University, Daejeon 306-791, Republic of Korea

Received 30 August 2010; Accepted 27 October 2010

Academic Editor: Istvan Gyori

Copyright © 2010 Min-Soo Kim 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.

Abstract

We investigate some interesting properties of the Bernstein polynomials related to the bosonic 𝑝 -adic integrals on ℤ 𝑝 .