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Mathematical Notes

, Volume 56, Issue 4, pp 1075–1081 | Cite as

Bernstein widths for some classes of analytic functions

  • O. G. Parfenov
Brief Communications
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Keywords

Analytic Function Bernstein Width 
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References

  1. 1.
    S. Fisher and C. Micchelli, “Then-widths of sets of analytic functions,”Duke Math. J.,47, No. 4, 789–801 (1980).MathSciNetGoogle Scholar
  2. 2.
    O. G. Parfenov, “Gel'fand widths of the unit ball of Hardy classH p [in n weight spaces,”Mat. Zametki,37, No. 2, 171–175 (1985).MATHMathSciNetGoogle Scholar
  3. 3.
    O. G. Parfenov, “Widths of Hardy classesH p [in n weight spacesL q,”Mat. Zametki,51, No. 4, 134–136 (1992).MATHMathSciNetGoogle Scholar
  4. 4.
    B. S. Mityagin and G. M. Khenkin, “Inequalities between differentn-widths,” in:Tr. Voronezh. Sem. Funkts. Anal., Vol. 7 (1963), pp. 97–103.Google Scholar
  5. 5.
    O. G. Parfenov, “Widths of a class of analytic functions,”Mat. Sb.,117(159), No. 2, 279–285.Google Scholar
  6. 6.
    W. Rudin,Function Theory in the Unit Ball of ℂ m [Russian translation], Mir, Moscow (1984).Google Scholar

Copyright information

© Plenum Publishing Corporation 1995

Authors and Affiliations

  • O. G. Parfenov
    • 1
  1. 1.Pskov State Pedagogical InstituteUSSR

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