Approximation Theory and its Applications

, Volume 15, Issue 1, pp 75–82 | Cite as

The norm of Bernstein 21—Adjusted interpolation polynomial operators

  • Peng Wuan
  • Zhu Laiyi


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


Positive Constant Linear Operator Natural Number Acta Math Interpolation Polynomial 
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    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).Google Scholar
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    Fejer, L., Uber Interpolation, Gotlmger. Nachr. (1916): 66–91.Google Scholar
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    Laiyi Zhu. On the modifing Lagrange interpolatory polynomials. Acta Math. Sinica. V36, No. 1 (1993), 136–144.MATHMathSciNetGoogle Scholar
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    Szabados, J. On the norm of certain interpolating operators, Acta Math. Hung. 55 (1–2) (1990), 179–183.CrossRefMathSciNetGoogle Scholar

Copyright information

© Springer 1999

Authors and Affiliations

  • Peng Wuan
    • 1
  • Zhu Laiyi
    • 2
  1. 1.North China Electric Power UniversityBeijingChina
  2. 2.People’s University of ChinaBeijingChina

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