ð ‘ž -Bernstein Polynomials Associated with ð ‘ž -Stirling Numbers and Carlitz's ð ‘ž -Bernoulli Numbers

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

Abstract and Applied Analysis, 2010, vol. 2010, 1-11

Abstract:

Recently, Kim (2011) introduced ð ‘ž -Bernstein polynomials which are different ð ‘ž -Bernstein polynomials of Phillips (1997). In this paper, we give a ð ‘ -adic ð ‘ž -integral representation for ð ‘ž -Bernstein type polynomials and investigate some interesting identities of ð ‘ž -Bernstein type polynomials associated with ð ‘ž -extensions of the binomial distribution, ð ‘ž -Stirling numbers, and Carlitz's ð ‘ž -Bernoulli numbers.

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:150975

DOI: 10.1155/2010/150975

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