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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

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Literature cited

  1. A. F. Timan, Theory of Approximation of Functions of a Real Variable, Pergamon (1963).

  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).

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  3. A. A. Ligun, “Exact inequalities for upper bounds of seminorms on classes of periodic functions,” Mat. Zametki,13, No. 5, 647–654 (1973).

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  4. V. V. Zhuk, “Some inequalities between the best approximations of periodic functions,” Izv. Vyssh. Uchebn. Zaved., Mat.,9, 18–26 (1973).

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  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).

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  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.

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Authors and Affiliations

  1. Leningrad State University, USSR

    V. V. Zhuk

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  1. V. V. Zhuk
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Translated from Matematicheskie Zametki, Vol. 21, No. 2, PP. 281–288, February, 1977.

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Zhuk, V.V. Reports read at the international conference on the theory of approximation of functions held at Kaluga, july 24–28, 1975. Mathematical Notes of the Academy of Sciences of the USSR 21, 153–157 (1977). https://doi.org/10.1007/BF02320559

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  • DOI: https://doi.org/10.1007/BF02320559

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