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Approximation of periodic functions in LP by linear positive methods and multiple moduli of continuity

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Literature cited

  1. A. Benedeck and R. Panzone, “The spaces LP with mixed norm,” Duke Math. J.,28, 301–324 (1961).

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  2. V. I. Berdyshev, “On Jackson's theorem in LP,” Tr. Mat. Inst. Akad. Nauk SSSR,88, 3–16 (1967).

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  3. V. A. Yudin, “On modulus of continuity in L2,” Sib. Mat. Zh.,20, No. 2, 449–450 (1979).

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  4. V. I. Ivanov, “On modulus of continuity in LP,” Mat. Zametki,41, No. 5, 682–686 (1987).

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  5. L. V. Taikov, “Structural and constructive characteristics of functions of L2,” Mat. Zametki,25, No. 2, 217–223 (1979).

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Authors and Affiliations

  1. Tula Polytechnic Institute, USSR

    V. I. Ivanov & S. A. Pichugov

  2. Dnepropetrovsk State University, USSR

    V. I. Ivanov & S. A. Pichugov

Authors
  1. V. I. Ivanov
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  2. S. A. Pichugov
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Additional information

Translated from Matematicheskie Zametki, Vol. 42, No. 6, pp. 776–785, December, 1987.

The authors thank V. A. Yudin for discussion of these results.

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Ivanov, V.I., Pichugov, S.A. Approximation of periodic functions in LP by linear positive methods and multiple moduli of continuity. Mathematical Notes of the Academy of Sciences of the USSR 42, 925–930 (1987). https://doi.org/10.1007/BF01137447

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  • DOI: https://doi.org/10.1007/BF01137447

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