Some Identities on the 𝑞-Integral Representation of the Product of Several 𝑞-Bernstein-Type Polynomials
The purpose of this paper is to give some properties of several 𝑞-Bernstein-type polynomials to express the 𝑞-integral on [0, 1] in terms of 𝑞-beta and 𝑞-gamma functions. Finally, we derive some identities on the 𝑞-integral of the product of several 𝑞-Bernstein-type polynomials.
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/634675 |
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| _version_ | 1832567166572953600 |
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| author | Taekyun Kim |
| author_facet | Taekyun Kim |
| author_sort | Taekyun Kim |
| collection | DOAJ |
| description | The purpose of this paper is to give some properties of several 𝑞-Bernstein-type polynomials to express the 𝑞-integral on [0, 1] in terms of 𝑞-beta and 𝑞-gamma
functions. Finally, we derive some identities on the 𝑞-integral of the product of several
𝑞-Bernstein-type polynomials. |
| format | Article |
| id | doaj-art-4359c29079724cf9b33f1e0a7b436c38 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-4359c29079724cf9b33f1e0a7b436c382025-02-03T01:02:09ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/634675634675Some Identities on the 𝑞-Integral Representation of the Product of Several 𝑞-Bernstein-Type PolynomialsTaekyun Kim0Department of Mathematics, Kwangwoon University, Seoul 139-701, Republic of KoreaThe purpose of this paper is to give some properties of several 𝑞-Bernstein-type polynomials to express the 𝑞-integral on [0, 1] in terms of 𝑞-beta and 𝑞-gamma functions. Finally, we derive some identities on the 𝑞-integral of the product of several 𝑞-Bernstein-type polynomials.http://dx.doi.org/10.1155/2011/634675 |
| spellingShingle | Taekyun Kim Some Identities on the 𝑞-Integral Representation of the Product of Several 𝑞-Bernstein-Type Polynomials Abstract and Applied Analysis |
| title | Some Identities on the 𝑞-Integral Representation of the Product of Several 𝑞-Bernstein-Type Polynomials |
| title_full | Some Identities on the 𝑞-Integral Representation of the Product of Several 𝑞-Bernstein-Type Polynomials |
| title_fullStr | Some Identities on the 𝑞-Integral Representation of the Product of Several 𝑞-Bernstein-Type Polynomials |
| title_full_unstemmed | Some Identities on the 𝑞-Integral Representation of the Product of Several 𝑞-Bernstein-Type Polynomials |
| title_short | Some Identities on the 𝑞-Integral Representation of the Product of Several 𝑞-Bernstein-Type Polynomials |
| title_sort | some identities on the 𝑞 integral representation of the product of several 𝑞 bernstein type polynomials |
| url | http://dx.doi.org/10.1155/2011/634675 |
| work_keys_str_mv | AT taekyunkim someidentitiesontheqintegralrepresentationoftheproductofseveralqbernsteintypepolynomials |