On the rate of approximation of functions in Lipschitz norms

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Abstract

We show that the problem on the rate of approximation of functions in Lipschitz norms is reduced to estimating approximations in C. Approximations in Lipschitz norms by Vallée Poussin sums are considered as an example.

Keywords

trigonometric polynomials modulus of continuity Lipschitz norms Vallée Poussin sums 

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References

  1. 1.
    S. Prössdorf, Math. Nachr. 69(1), 7 (1975).MathSciNetMATHCrossRefGoogle Scholar
  2. 2.
    L. Leindler, A. Meir, and V. Totik, Acta Math. Hungar. 45(3), 441 (1985).MathSciNetMATHCrossRefGoogle Scholar
  3. 3.
    S. B. Stechkin, Izv. Akad. Nauk SSSR, Ser. Mat. 15(3), 219 (1951).MATHGoogle Scholar
  4. 4.
    A. V. Efimov, Izv. Akad. Nauk SSSR, Ser. Mat. 23(5), 737 (1959).MathSciNetMATHGoogle Scholar
  5. 5.
    Z. Stypiński, Funct. Approx. Comment. Math. 7, 101 (1979).MathSciNetMATHGoogle Scholar
  6. 6.
    L. Leindler, Studia Sci. Math. Hungar. 14, 431 (1979).MathSciNetMATHGoogle Scholar

Copyright information

© Pleiades Publishing, Ltd. 2011

Authors and Affiliations

  1. 1.Steklov Institute of MathematicsRussian Academy of SciencesMoscowRussia

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