Advances in Difference Equations
Volume 2010 (2010), Article ID 163217, 6 pages
doi:10.1155/2010/163217
Research Article

A Study on the p-Adic Integral Representation on ℤp Associated with Bernstein and Bernoulli Polynomials

Lee-Chae Jang,1 Won-Joo Kim,2 and Yilmaz Simsek3

1Department of Mathematics and Computer Science, Konkuk University, Chungju 138-701, Republic of Korea
2The Research Institute of Natural Sciences, Konkuk University, Seoul 138-701, Republic of Korea
3Department of Mathematics, Faculty of Arts and Science, University of Akdeniz, Antalya, Turkey

Received 13 August 2010; Accepted 15 September 2010

Academic Editor: Toka Diagana

Copyright © 2010 Lee-Chae Jang 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 consider the Bernstein polynomials on ℤp and investigate some interesting properties of Bernstein polynomials related to Stirling numbers and Bernoulli numbers.