A generalization of the Bernstein polynomials: Dedicated to Philip J. Davis

H  Oruc; G M  Phillips

doi:10.1017/S0013091500020332

A generalization of the Bernstein polynomials: Dedicated to Philip J. Davis

H Oruc, G M Phillips

Applied Mathematics

Research output: Contribution to journal › Article › peer-review

54 Citations (Scopus)

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.

Original language	English
Pages (from-to)	403-413
Number of pages	11
Journal	Proceedings of the Edinburgh Mathematical Society
Volume	42
Issue number	2
DOIs	https://doi.org/10.1017/S0013091500020332
Publication status	Published - Jun 1999

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title = "A generalization of the Bernstein polynomials: Dedicated to Philip J. Davis",

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.",

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A generalization of the Bernstein polynomials: Dedicated to Philip J. Davis

Abstract

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