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The complete asymptotic expansion for Baskakov operators

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Analysis in Theory and Applications

Abstract

In this paper, we derive the complete asymptotic expansion of classical Baskakov operators V n (f;x) in the form of all coefficients of n −k,k = 0, 1 ... being calculated explicitly in terms of Stirling number of the first and second kind and another number G(i, p). As a corollary, we also get the Voronovskaja-type result for the operators.

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Authors and Affiliations

  1. Department of Mathematics, Capital Normal University, Beijing, 100037, P.R. China

    Chungou Zhang & Quane Wang

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  1. Chungou Zhang
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  2. Quane Wang
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Supported by the Natural Science Foundation of Beijing (1072006).

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Zhang, C., Wang, Q. The complete asymptotic expansion for Baskakov operators. Analys in Theo Applic 23, 76–82 (2007). https://doi.org/10.1007/s10496-001-0076-2

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  • DOI: https://doi.org/10.1007/s10496-001-0076-2

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