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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| Format: | Article |
| Language: | English |
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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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| author | T. Kim J. Choi Y. H. Kim |
| author_facet | T. Kim J. Choi Y. H. Kim |
| author_sort | T. Kim |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-7f187635c1294be5b9e1d29934b72edd |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-7f187635c1294be5b9e1d29934b72edd2025-02-03T01:26:05ZengWileyAbstract and Applied Analysis1085-33751687-04092010-01-01201010.1155/2010/150975150975𝑞-Bernstein Polynomials Associated with 𝑞-Stirling Numbers and Carlitz's 𝑞-Bernoulli NumbersT. Kim0J. Choi1Y. H. Kim2Division of General Education-Mathematics, Kwangwoon University, Seoul 139-701, Republic of KoreaDivision of General Education-Mathematics, Kwangwoon University, Seoul 139-701, Republic of KoreaDivision of General Education-Mathematics, Kwangwoon University, Seoul 139-701, Republic of KoreaRecently, 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.http://dx.doi.org/10.1155/2010/150975 |
| spellingShingle | T. Kim J. Choi Y. H. Kim 𝑞-Bernstein Polynomials Associated with 𝑞-Stirling Numbers and Carlitz's 𝑞-Bernoulli Numbers Abstract and Applied Analysis |
| title | 𝑞-Bernstein Polynomials Associated with 𝑞-Stirling Numbers and
Carlitz's 𝑞-Bernoulli Numbers |
| title_full | 𝑞-Bernstein Polynomials Associated with 𝑞-Stirling Numbers and
Carlitz's 𝑞-Bernoulli Numbers |
| title_fullStr | 𝑞-Bernstein Polynomials Associated with 𝑞-Stirling Numbers and
Carlitz's 𝑞-Bernoulli Numbers |
| title_full_unstemmed | 𝑞-Bernstein Polynomials Associated with 𝑞-Stirling Numbers and
Carlitz's 𝑞-Bernoulli Numbers |
| title_short | 𝑞-Bernstein Polynomials Associated with 𝑞-Stirling Numbers and
Carlitz's 𝑞-Bernoulli Numbers |
| title_sort | 𝑞 bernstein polynomials associated with 𝑞 stirling numbers and carlitz s 𝑞 bernoulli numbers |
| url | http://dx.doi.org/10.1155/2010/150975 |
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