On the best approximation in the mean of certain classes of analytic functions

  • L. V. Taikov
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Keywords

Analytic Function 
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Literature cited

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    A. N. Kolmogorov, Uber diebesste Anaherung von Funktionen einer gegebenen Funktionklassen, Ann. of Math., 37, 107–111 (1936).Google Scholar
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    V. M. Tikhomirov, Diameters of sets in function spaces and the theory of best approximations [in Russian], Uspekhi matem. nauk,15, No. 3(93), 81–120 (1960).Google Scholar
  3. 3.
    S. M. Nikol'skii, Approximation of functions by trigonometric polynomials in the mean [in Russian], Izd. AN SSSR, Ser. matem.,10, 207–256 (1946).Google Scholar
  4. 4.
    S. B. Stechkin, Best approximation of linear operators [in Russian], Matem. Zametki,1, No. 2, 137–148 (1967).Google Scholar
  5. 5.
    K. I. Babenko, On best approximations of one class of analytic functions, Izd. AN SSSR, Ser. matem.,22, No. 5, 631–640 (1958).Google Scholar

Copyright information

© Consultants Bureau 1968

Authors and Affiliations

  • L. V. Taikov
    • 1
  1. 1.V. A. Steklov Mathematical InstituteAcademy of Sciences of the USSRUSSR

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