A generalization of the Bernstein polynomials. (English) Zbl 0930.41009

Authors’ abstract. This paper is concerned with a generalization of the classical Bernstein polynomials where the function is evaluated at intervals which are in geometric progression. It is shown that, when the function is convex, the generalized Bernstein polynomials \(B_n\) are monotonic in \(n\), as in the classical case.
Reviewer: E.Deeba (Houston)


41A10 Approximation by polynomials
41A36 Approximation by positive operators
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