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Periodica Mathematica Hungarica

, Volume 14, Issue 3–4, pp 209–228 | Cite as

Uniform approximation by Baskakov and Meyer-König and Zeller operators

  • V. Totik
Article

Abstract

Necessary and sufficient conditions are given for a function to have uniform approximation or a Lipschitz order of approximation by Baskakov and Meyer-König and Zeller operators.

AMS (MOS) subject classifications (1980)

Primary 41A25 Secondary 41A27, 41A40 

Key words and phrases

Approximation Baskakov operator Meyer-König and Zeller operator 

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References

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    V. A. Baskakov, Primer posledovatel'nosti lineinyh položitel'nyh operatorov v prostranstve neprerivnyh funkcii (An example of a sequence of linear positive operators in the space of continuous functions),Dokl. Akad. Nauk SSSR 113 (1957), 249–251.MR 20 # 1153Google Scholar
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    M. Becker, Global approximation theorems for Szász—Mirakjan and Baskakov operators in polynomial weight spaces,Indiana Univ. Math. J. 27 (1978), 127–142.MR 58 # 12116Google Scholar
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    M. Becker andR. J. Nessel, A global approximation theorem for Meyer-König and Zeller operators.Math. Z. 160 (1978), 195–206.MR 58 # 23273Google Scholar
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    M. Becker andR. J. Nessel, An elementary approach to inverse approximation theorems,J. Approx. Theory 23 (1978), 99–103.MR 58 # 17665Google Scholar
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    M. Becker andR. J. Nessel, Inverse results via smoothing,Constructive Function Theory (Proc. Conf., Blagoevgrad, 1977), Sofia, 1980; 231–243.Zbl 401. 41009,453. 41007Google Scholar
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    W. Meyer-König andK. Zeller, Bernsteinsche Potenzreihen,Studia Math. 19 (1960), 89–94.MR 22 # 2823Google Scholar
  7. [7]
    V. Totik, Uniform approximation by Szász—Mirakjan operators,Acta Math. Acad. Sci. Hungar. 41 (1983), 291–307.Google Scholar

Copyright information

© Akadémiai Kiadó 1983

Authors and Affiliations

  • V. Totik
    • 1
  1. 1.József Attila TudományegyetemBolyai IntézetSzegedHungary

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