𝑞-Bernstein Polynomials Associated with 𝑞-Stirling Numbers and Carlitz's 𝑞-Bernoulli Numbers
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 w...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2010-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2010/150975 |
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| Summary: | 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. |
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| ISSN: | 1085-3375 1687-0409 |