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Reports read at the international conference on the theory of approximation of functions held at Kaluga, july 24–28, 1975

Some exact inequalities between the best approximations and moduli of continuity of high orders
  • V. V. Zhuk
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Literature cited

  1. 1.
    A. F. Timan, Theory of Approximation of Functions of a Real Variable, Pergamon (1963).Google Scholar
  2. 2.
    A. N. Kolmogorov, “On inequalities between upper bounds of successive derivatives of an arbitrary function on an infinite interval,” Uch. Zap. Mosk. Univ. Mat.,30, 3–16 (1939).Google Scholar
  3. 3.
    A. A. Ligun, “Exact inequalities for upper bounds of seminorms on classes of periodic functions,” Mat. Zametki,13, No. 5, 647–654 (1973).MATHMathSciNetGoogle Scholar
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    V. V. Zhuk, “Some inequalities between the best approximations of periodic functions,” Izv. Vyssh. Uchebn. Zaved., Mat.,9, 18–26 (1973).MATHGoogle Scholar
  5. 5.
    V. V. Zhuk, “On some exact inequalities between the best uniform approximations of periodic functions,” Dokl. Akad. Nauk SSSR,214, No. 6, 1245–1246 (1974).MATHMathSciNetGoogle Scholar
  6. 6.
    A. A. Ligun, “Exact inequalities between the best approximations and moduli of continuity of periodic functions,” in: Investigations on the Modern Problems of Summation of Functions and Their Applications, Dnepropetrovsk (1973), pp. 61–65.Google Scholar

Copyright information

© Plenum Publishing Corporation 1977

Authors and Affiliations

  • V. V. Zhuk
    • 1
  1. 1.Leningrad State UniversityUSSR

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