q‐Bernstein Polynomials Associated with q‐Stirling Numbers and Carlitz′s q‐Bernoulli Numbers
Open Access
- 24 January 2010
- journal article
- research article
- Published by Wiley in Abstract and Applied Analysis
- Vol. 2010 (1)
- https://doi.org/10.1155/2010/150975
Abstract
Recently, Kim (2011) introduced q‐Bernstein polynomials which are different q‐Bernstein polynomials of Phillips (1997). In this paper, we give a p‐adic q‐integral representation for q‐Bernstein type polynomials and investigate some interesting identities of q‐Bernstein type polynomials associated with q‐extensions of the binomial distribution, q‐Stirling numbers, and Carlitz′s q‐Bernoulli numbers.Keywords
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