Skip to main content
Log in

A bound on Fourier coefficients according to the Chrestenson-Levy system in ag-locally integral metric

  • 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

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

Instant access to the full article PDF.

Literature cited

  1. A. V. Efimov, “Upper bounds of Fourier-Walsh coefficients,” Mat. Zametki,6, No. 6, 725–736 (1969).

    Google Scholar 

  2. N. P. Khoroshko, “An estimate of the upper bound of the Fourier coefficients on certain classes of functions according to the Haar, Rademacher, and Walsh systems,” in: The Theory of Functions, Functional Analysis and Their Applications [in Russian], No. 15, Dnepropetrovsk University (1972).

  3. N. Ya. Vilenkin, “A class of complete orthogonal systems,” Izv. Akad. Nauk SSSR, Ser. Mat.,11, 363–400 (1947).

    Google Scholar 

  4. M. S. Bespalov, “Fourier coefficients and the approximation of functions in a periodic multiplicative system,” Mat. Zametki,36, No. 3, 329–340 (1984).

    Google Scholar 

  5. B. I. Golubov, A. V. Efimov, and V. A. Skvortsov, Walsh Series and Transformations. Theory and Applications [in Russian], Nauka, Moscow (1987).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Matematicheskie Zametki, Vol. 48, No. 4, pp. 29–36, October, 1990.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Efimov, A.V. A bound on Fourier coefficients according to the Chrestenson-Levy system in ag-locally integral metric. Mathematical Notes of the Academy of Sciences of the USSR 48, 992–997 (1990). https://doi.org/10.1007/BF01139598

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01139598

Keywords

Navigation