On q-Euler Numbers Related to the Modified q-Bernstein Polynomials

On q-Euler Numbers Related to the Modified q-Bernstein Polynomials

We consider q-Euler numbers, polynomials, and q-Stirling numbers of first and second kinds. Finally, we investigate some interesting properties of the modified q-Bernstein polynomials related...

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Main Authors: Min-Soo Kim, Daeyeoul Kim, Taekyun Kim
Format: Article
Language:English
Published: Hindawi Limited 2010-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2010/952384
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spelling doaj-c78e9cecbdd045c589dc558c23e828682020-11-24T21:28:38ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092010-01-01201010.1155/2010/952384952384On q-Euler Numbers Related to the Modified q-Bernstein PolynomialsMin-Soo Kim0Daeyeoul Kim1Taekyun Kim2Department of Mathematics, KAIST, 373-1 Guseong-dong, Yuseong-gu, Daejeon 305-701, Republic of KoreaNational Institute for Mathematical Sciences, Doryong-dong, Yuseong-gu, Daejeon 305-340, Republic of KoreaDivision of General Education-Mathematics, Kwangwoon University, Seoul, 139-701, Republic of KoreaWe consider q-Euler numbers, polynomials, and q-Stirling numbers of first and second kinds. Finally, we investigate some interesting properties of the modified q-Bernstein polynomials related to q-Euler numbers and q-Stirling numbers by using fermionic p-adic integrals on ℤp.http://dx.doi.org/10.1155/2010/952384
collection DOAJ
language English
format Article
sources DOAJ
author Min-Soo Kim
Daeyeoul Kim
Taekyun Kim
spellingShingle Min-Soo Kim
Daeyeoul Kim
Taekyun Kim
On q-Euler Numbers Related to the Modified q-Bernstein Polynomials
Abstract and Applied Analysis
author_facet Min-Soo Kim
Daeyeoul Kim
Taekyun Kim
author_sort Min-Soo Kim
title On q-Euler Numbers Related to the Modified q-Bernstein Polynomials
title_short On q-Euler Numbers Related to the Modified q-Bernstein Polynomials
title_full On q-Euler Numbers Related to the Modified q-Bernstein Polynomials
title_fullStr On q-Euler Numbers Related to the Modified q-Bernstein Polynomials
title_full_unstemmed On q-Euler Numbers Related to the Modified q-Bernstein Polynomials
title_sort on q-euler numbers related to the modified q-bernstein polynomials
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2010-01-01
description We consider q-Euler numbers, polynomials, and q-Stirling numbers of first and second kinds. Finally, we investigate some interesting properties of the modified q-Bernstein polynomials related to q-Euler numbers and q-Stirling numbers by using fermionic p-adic integrals on ℤp.
url http://dx.doi.org/10.1155/2010/952384
work_keys_str_mv AT minsookim onqeulernumbersrelatedtothemodifiedqbernsteinpolynomials
AT daeyeoulkim onqeulernumbersrelatedtothemodifiedqbernsteinpolynomials
AT taekyunkim onqeulernumbersrelatedtothemodifiedqbernsteinpolynomials
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