Division of General Education-Mathematics, Kwangwoon University, Seoul 139-701, Republic of Korea
Academic Editor: Ferhan M. Atici
Copyright © 2010 T. 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.
Recently, Kim (2011) introduced -Bernstein polynomials which are
different -Bernstein polynomials of Phillips (1997). In this paper, we give a -adic
-integral representation for -Bernstein type polynomials and investigate some
interesting identities of -Bernstein type polynomials associated with -extensions
of the binomial distribution, -Stirling numbers, and Carlitz's -Bernoulli numbers.