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An application of Bernstein-Durrmeyer operators

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Analysis in Theory and Applications

Abstract

In the present paper, we find that the Bernstein-Durrmeyer operators, besides their better applications in approximation theory and some other fields, are good tools in constructing translation network. With the help of the de la Vallée properties of the Bernstein-Durrmeyer operators a sequence of translation network operators is constructed and its degree of approximation is dealt.

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Authors and Affiliations

  1. Department of Mathematics, Shaoxing College of Arts and Sciences, Shaoxing, Zhejiang, 312000, P.R. China

    Baohuai Sheng

  2. Department of Mathematics, Ningbo University, Ningbo, Zhejiang, 315211, P.R. China

    Chunping Zhang

Authors
  1. Baohuai Sheng
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  2. Chunping Zhang
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Additional information

Supported by the NSF of P.R.China(10471130), and the NSF of Zhejiang Province(Y604003).

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Sheng, B., Zhang, C. An application of Bernstein-Durrmeyer operators. Analys in Theo Applic 23, 16–25 (2007). https://doi.org/10.1007/s10496-001-0016-1

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  • DOI: https://doi.org/10.1007/s10496-001-0016-1

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