Skip to main content
SpringerLink
Log in

Trigonometric diameters of the Sobolev classes Wp r in the space Lq

  • Published:
Mathematical notes of the Academy of Sciences of the USSR Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Literature cited

  1. V. M. Tikhomirov, Some Problems of Approximation Theory [in Russian], Moscow State Univ. (1976).

  2. S. B. Stechkin, “On the best approximation of given classes with arbitrary polynomials,” Usp. Mat. Nauk,9, No. 1, 133–134 (1954).

    Google Scholar 

  3. R. S. Ismagilov, “Diameters of sets in normed linear spaces and approximation of functions with trigonometric polynomials,” Usp. Mat. Nauk,29, No. 3, 161–171 (1974).

    Google Scholar 

  4. V. E. Maiorov, “On linear diameters of Sobolev classes and chains of extremal subspaces,” Mat. Sb.,113, No. 3, 437–462 (1980).

    Google Scholar 

  5. B. S. Kashin, “Diameters of some finite-dimensional sets and of classes of smooth functions,” Izv. Akad. Nauk SSSR, Ser. Mat.,41, 334–351 (1977).

    Google Scholar 

  6. Hua Lo-Ken, The Method of Trigonometric Sums and Its Applications in Number Theory [Russian translation], Mir, Moscow (1964).

    Google Scholar 

  7. S. B. Stechkin, “On absolute convergence of Fourier series (second publication),” Izv. Akad. Nauk SSSR, Ser. Mat.,19, No. 4, 221–246 (1955).

    Google Scholar 

  8. B. S. Kashin, “On the diameters of octahedra,” Usp. Mat. Nauk,30, No. 4, 251–253 (1975).

    Google Scholar 

  9. I. M. Vinogradov, The Foundations of Number Theory [in Russian], TTL, Moscow (1949).

    Google Scholar 

  10. G. H. Hardy, J. E. Littlewood, and G. Polya, Inequalities, Cambridge Univ. Press (1934).

  11. Z. I. Borevich and I. R. Shafarevich, Number Theory [in Russian], Nauka, Moscow (1972).

    Google Scholar 

  12. É. S. Belinskii, “Approximation of periodic functions with a ‘floating’ system of exponentials and trigonometric diameters,” in: All-Soviet subject compendium “Investigations in the theory of functions of several real variables,” Yaroslavl' State Univ. (1984).

Download references

Author information

Authors and Affiliations

  1. Moscow Institute of Railroad Transportation Engineering, USSR

    V. E. Maiorov

Authors
  1. V. E. Maiorov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Matematicheskie Zametki, Vol. 40, No. 2, pp. 151–173, August, 1986.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Maiorov, V.E. Trigonometric diameters of the Sobolev classes Wp r in the space Lq . Mathematical Notes of the Academy of Sciences of the USSR 40, 590–597 (1986). https://doi.org/10.1007/BF01159113

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01159113

Keywords

Search

Navigation