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Diameters of classes of functions defined on a line

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Literature cited

  1. S. M. Nikol'skii, Approximation of Functions of Several Variables and Imbedding Theorems, Springer-Verlag, New York (1975).

    Google Scholar 

  2. N. I. Akhiezer, Theory of Approximations, F. Ungar, New York (1956).

    Google Scholar 

  3. R. S. Ismagilov, “Diameters of sets in normed linear spaces, and the approximation of functions by trigonometric polynomials,” Usp. Mat. Nauk,29, No. 3, 161–178 (1974).

    Google Scholar 

  4. V. E. Maiorov, “Trigonometric n-diameters of the class W r1 in the space Lq,” in: Proc. Seventh Winter School, Drogobych (1974), pp. 199–208.

  5. V. E. Maiorov, “Theorems on representation and best approximation of the classes W rp and H rp ,” Dokl. Akad. Nauk SSSR,228, No. 2, 293–296 (1976).

    Google Scholar 

  6. Din' Zung and G. G. Magaril-Il'yaev, “Bernshtein- and Favard-type problems and the mean ɛ-dimension of some classes of functions,” Dokl. Akad. Nauk SSSR,249, No. 4, 783–786 (1979).

    Google Scholar 

  7. V. M. Tikhomirov, Some Questions in Approximation Theory [in Russian], Moscow State Univ., Moscow (1976).

    Google Scholar 

  8. V. A. Maiorov, “On linear diameters of Sobolev classes and chains of extremal subspaces,” Mat. Sb.,113, No. 3, 437–463 (1980).

    Google Scholar 

  9. Loo-Keng Hua, Die Abschätzung von Exponential summen und ihre Anwendung in der Zahlentheorie, Teubner, Leipzig (1959).

    Google Scholar 

  10. A. Zygmund, Trigonometric Series, Cambridge Univ. Press (1959).

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Authors and Affiliations

  1. Moscow Institute for Communication Engineers, USSR

    V. E. Maiorov

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  1. V. E. Maiorov
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Translated from Matematicheskie Zametki, Vol. 34, No. 3, pp. 355–366, September, 1983.

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Maiorov, V.E. Diameters of classes of functions defined on a line. Mathematical Notes of the Academy of Sciences of the USSR 34, 658–664 (1983). https://doi.org/10.1007/BF01140345

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  • DOI: https://doi.org/10.1007/BF01140345

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