Copyright © 2011 Taekyun Kim. 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

The purpose of this paper is to give some properties of several -Bernstein-type polynomials to express the -integral on [0, 1] in terms of -beta and -gamma functions. Finally, we derive some identities on the -integral of the product of several -Bernstein-type polynomials.