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Abstract and Applied Analysis
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Abstract and Applied Analysis
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https://dx.doi.org/10.1155/201...
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Some Identities on the q‐Integral Representation of the Product of Several q‐Bernstein‐Type Polynomials

Some identities on the \(q\)-integral representation of the product of several \(q\)-Bernstein-type polynomials
descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2011 English Publisher:WileyJournal:Abstract and Applied Analysis, volume 2,011 (issn: 1085-3375, eissn: 1687-0409, Copyright policy )
Authors: Taekyun Kim;

doi: 10.1155/2011/634675

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

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.

Related Organizations
Keywords

\(q\)-beta functions, Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.), QA1-939, \(q\)-gamma functions, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
12
Average
Top 10%
Top 10%
gold