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A de Casteljau Algorithm for q‐Bernstein‐Stancu Polynomials

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  • Grzegorz Nowak

Abstract

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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Handle: RePEc:wly:jnlaaa:v:2011:y:2011:i:1:n:609431
DOI: 10.1155/2011/609431
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