A Note on the Modified q-Bernstein Polynomials

We propose the modified q-Bernstein polynomials of degree n which are different q-Bernstein polynomials of Phillips (1997). From these modified q-Bernstein polynomials of degree n, we derive some recurrence formulae for the modified q-Bernstein polynomials.

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Main Authors: Taekyun Kim, Lee-Chae Jang, Heungsu Yi
Format: Article
Language:English
Published: Wiley 2010-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2010/706483
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author Taekyun Kim
Lee-Chae Jang
Heungsu Yi
author_facet Taekyun Kim
Lee-Chae Jang
Heungsu Yi
author_sort Taekyun Kim
collection DOAJ
description We propose the modified q-Bernstein polynomials of degree n which are different q-Bernstein polynomials of Phillips (1997). From these modified q-Bernstein polynomials of degree n, we derive some recurrence formulae for the modified q-Bernstein polynomials.
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institution Kabale University
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publishDate 2010-01-01
publisher Wiley
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series Discrete Dynamics in Nature and Society
spelling doaj-art-51b61b66c52b44fa96da5802ccebc3202025-02-03T01:30:51ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2010-01-01201010.1155/2010/706483706483A Note on the Modified q-Bernstein PolynomialsTaekyun Kim0Lee-Chae Jang1Heungsu Yi2Division of General Education, Kwangwoon University, Seoul 139-701, Republic of KoreaDepartment of Mathematics and Computer Science, Konkuk University, Chungju 138-701, Republic of KoreaDepartment of Mathematics, Kwangwoon University, Seoul 139-701, Republic of KoreaWe propose the modified q-Bernstein polynomials of degree n which are different q-Bernstein polynomials of Phillips (1997). From these modified q-Bernstein polynomials of degree n, we derive some recurrence formulae for the modified q-Bernstein polynomials.http://dx.doi.org/10.1155/2010/706483
spellingShingle Taekyun Kim
Lee-Chae Jang
Heungsu Yi
A Note on the Modified q-Bernstein Polynomials
Discrete Dynamics in Nature and Society
title A Note on the Modified q-Bernstein Polynomials
title_full A Note on the Modified q-Bernstein Polynomials
title_fullStr A Note on the Modified q-Bernstein Polynomials
title_full_unstemmed A Note on the Modified q-Bernstein Polynomials
title_short A Note on the Modified q-Bernstein Polynomials
title_sort note on the modified q bernstein polynomials
url http://dx.doi.org/10.1155/2010/706483
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