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Uniform approximation by some Durrmeyer operators

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Approximation Theory and its Applications

Abstract

The purpose of this paper is to give the inverse theorems for uniform approximation by Bernstein and Szász-Mirakjan Durrmeyer operators. A new K-functional is introduced which shows the instinct difference between Feller and non-Feller operators. A new approach to the inverse theorem for Bernstein operators is also presented.

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Authors and Affiliations

  1. Zhejiang University, China

    Zhou Dingxuan

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  1. Zhou Dingxuan
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Supported by National Science Foundation of China

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Dingxuan, Z. Uniform approximation by some Durrmeyer operators. Approx. Theory & its Appl. 6, 87–100 (1990). https://doi.org/10.1007/BF02836162

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  • DOI: https://doi.org/10.1007/BF02836162

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