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Nowak, Grzegorz

A de Casteljau algorithm for \(q\)-Bernstein-Stancu polynomials. (English) Zbl 1209.33017

Abstr. Appl. Anal. 2011, Article ID 609431, 13 p. (2011).
Summary: This paper is concerned with a generalization of \(q\)-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 the \(q\)-Bernstein case.

Cited in 2 Documents

MSC:

33D15 Basic hypergeometric functions in one variable, \({}_r\phi_s\)
11B65 Binomial coefficients; factorials; \(q\)-identities
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\textit{G. Nowak}, Abstr. Appl. Anal. 2011, Article ID 609431, 13 p. (2011; Zbl 1209.33017)
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