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The norm of Bernstein 21—Adjusted interpolation polynomial operators

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Approximation Theory and its Applications

Abstract

In this paper we estimated the norm of Bernstein 2l-ad justed interpolation polynomial operators, and proved that the estimation is sharp.

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Reference

  1. Bernstein, S., On a class of modifing Lagrange interpolation formula, Acad. Nank. S.S.S.R.S. N. Bernstein collected works. (1954). 130–140 (Russian).

  2. Fejer, L., Uber Interpolation, Gotlmger. Nachr. (1916): 66–91.

  3. Laiyi Zhu. On the modifing Lagrange interpolatory polynomials. Acta Math. Sinica. V36, No. 1 (1993), 136–144.

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Authors and Affiliations

  1. North China Electric Power University, Beijing, China

    Peng Wuan

  2. People’s University of China, Beijing, China

    Zhu Laiyi

Authors
  1. Peng Wuan
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  2. Zhu Laiyi
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Wuan, P., Laiyi, Z. The norm of Bernstein 21—Adjusted interpolation polynomial operators. Approx. Theory & its Appl. 15, 75–82 (1999). https://doi.org/10.1007/BF02863235

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  • DOI: https://doi.org/10.1007/BF02863235

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