q‐Bernstein Polynomials Associated with q‐Stirling Numbers and Carlitz′s q‐Bernoulli Numbers

T. Kim, J. Choi and Y. H. Kim

Abstract and Applied Analysis, 2010, vol. 2010, issue 1

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.

Date: 2010
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https://doi.org/10.1155/2010/150975

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2010:y:2010:i:1:n:150975

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