Skip to main content
SpringerLink
Log in

Order of (C,α)-approximations on certain classes of periodic functions

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

Abstract

In the spaces L2π and C2π, the orders of upper bounds for the deviations of a function and its conjugate from the Cesaro means of their Fourier series are obtained on a class of functions with a given majorant of their k-th modulus of smoothness.

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

Similar content being viewed by others

Literature cited

  1. N. K. Bari, Trigonometric Series [in Russian], Moscow (1961).

  2. S. B. Stechkin, “Absolute convergence of Fourier series (second report),” Izv. Akad. Nauk SSSR, Ser. Matem.,19, No.4, 221–246 (1955).

    Google Scholar 

  3. S. B. Stechkin, “Approximation of periodic functions by Fejer sums,” Tr. Matem. In-ta Akad. Nauk SSSR,62, 48–60 (1961).

    Google Scholar 

  4. V. É. Geit, Structural and Constructive Properties of Functions and Their Conjugates [in Russian], Candidate's Dissertation, Sverdlovsk (1970).

  5. V. É. Geit, “The accuracy of certain inequalities in the theory of approximation,” Matem. Zametki,10, No. 5, 571–582 (1971).

    Google Scholar 

  6. V. É. Geit, “Conditions for imbedding the classes H ωk,R and\(\tilde H_{k,R}^\omega\),” Matem. Zametki,13, No. 2, 169–178 (1973).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Sverdlovsk Pedagogical Institute, USSR

    V. É. Geit

Authors
  1. V. É. Geit
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Matematicheskie Zametki, Vol. 15, No. 1, pp. 15–20, January, 1974.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Geit, V.É. Order of (C,α)-approximations on certain classes of periodic functions. Mathematical Notes of the Academy of Sciences of the USSR 15, 9–12 (1974). https://doi.org/10.1007/BF01153537

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01153537

Keywords

Search

Navigation