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2011 A de Casteljau Algorithm for q -Bernstein-Stancu Polynomials
Grzegorz Nowak
Abstr. Appl. Anal. 2011: 1-13 (2011). DOI: 10.1155/2011/609431


This paper is concerned with a generalization of the q -Bernstein polynomials and Stancu operators, where the function is evaluated at intervals which are in geometric progression. It is shown that these polynomials can be generated by a de Casteljau algorithm, which is a generalization of that relating to the classical case and q -Bernstein case.


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Grzegorz Nowak. "A de Casteljau Algorithm for q -Bernstein-Stancu Polynomials." Abstr. Appl. Anal. 2011 1 - 13, 2011.


Published: 2011
First available in Project Euclid: 12 August 2011

zbMATH: 1209.33017
MathSciNet: MR2763497
Digital Object Identifier: 10.1155/2011/609431

Rights: Copyright © 2011 Hindawi

Vol.2011 • 2011
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