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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Hindawi Limited
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/634675 |