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Some Identities on the ð ‘ž -Integral Representation of the Product of Several ð ‘ž -Bernstein-Type Polynomials

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  • Taekyun Kim

Abstract

The purpose of this paper is to give some properties of several ð ‘ž -Bernstein-type polynomials to express the ð ‘ž -integral on [0, 1] in terms of ð ‘ž -beta and ð ‘ž -gamma functions. Finally, we derive some identities on the ð ‘ž -integral of the product of several ð ‘ž -Bernstein-type polynomials.

Suggested Citation

  • Taekyun Kim, 2011. "Some Identities on the ð ‘ž -Integral Representation of the Product of Several ð ‘ž -Bernstein-Type Polynomials," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-11, December.
    • Handle: RePEc:hin:jnlaaa:634675
    DOI: 10.1155/2011/634675
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    Cited by:

    1. Taekyun Kim & Dae San Kim, 2019. "Some Identities on Degenerate Bernstein and Degenerate Euler Polynomials," Mathematics, MDPI, vol. 7(1), pages 1-10, January.

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