Some Identities on the q‐Integral Representation of the Product of Several q‐Bernstein‐Type Polynomials

Taekyun Kim

Abstract and Applied Analysis, 2011, vol. 2011, issue 1

Abstract: 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.

Date: 2011
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https://doi.org/10.1155/2011/634675

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2011:y:2011:i:1:n:634675

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