Abstract and Applied Analysis

q -Bernstein Polynomials Associated with q -Stirling Numbers and Carlitz's q -Bernoulli Numbers

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

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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.

Article information

Source
Abstr. Appl. Anal., Volume 2010 (2010), Article ID 150975, 11 pages.

Dates
First available in Project Euclid: 12 August 2011

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1313170946

Digital Object Identifier
doi:10.1155/2010/150975

Mathematical Reviews number (MathSciNet)
MR2754202

Zentralblatt MATH identifier
1208.11029

Citation

Kim, T.; Choi, J.; Kim, Y. H. $q$ -Bernstein Polynomials Associated with $q$ -Stirling Numbers and Carlitz's $q$ -Bernoulli Numbers. Abstr. Appl. Anal. 2010 (2010), Article ID 150975, 11 pages. doi:10.1155/2010/150975. https://projecteuclid.org/euclid.aaa/1313170946


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