Skip to main content
SpringerLink
Log in

Accuracy of representation of conjugate functions by Cesàro sums

  • Published:
Siberian Mathematical Journal 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. S. M. Nikol'skii, “On the asymptotic behavior of the remainder in the approximation of the functions that satisfy a Lipschitz condition by Fejér sums,” Izv. Akad. Nauk SSSR, Ser. Mat.,4, 501–508 (1940).

    Google Scholar 

  2. S. A. Telyakovskii, “On the approximation of functions of the class W1 by Cesàro means,” Tr. Mat. Inst. Akad. Nauk SSSR,157, 191–197 (1981).

    Google Scholar 

  3. L. P. Falaleev, “Approximation of conjugate functions by Cesàro sums,” Mat. Zametki,28, No. 3, 451–458 (1980).

    Google Scholar 

  4. S. A. Telyakovskii, “On the approximation of differentiable functions by linear means of their Fourier series,” Izv. Akad. Nauk SSSR, Ser. Mat.,24, No. 2, 213–242 (1960).

    Google Scholar 

  5. S. A. Telyakovskii, “On the approximation of functions by Cesàro means,” in: International Conference on the Constructive Theory of Functions. Abstracts of Reports [in Russian], Varna (1981), p. 27.

  6. G. I. Ryzhankova, “On the approximation of differentiable functions by Cesàro means,” Sib. Mat. Zh.,17, No. 1, 226–232 (1976).

    Google Scholar 

  7. G. I. Ryzhankova, “On the approximation of conjugate functions by Cesàro means,” in: Real Problems of Electronic Computers and Programming [in Russian], Dnepropetrovsk (1981), pp. 123–127.

  8. A. Dzhumagulov and L. P. Falaleev, “Approximation of functions of the class W(r) by Cesàro means,” by Cesàro integrals,” in: Theoretical and Applied Problems of Mathematics and Mechanics [in Russian], Alma-Ata (1977), pp. 126–128.

  9. R. Taberski, “Asymptotic formula for Cesàro singular integrals,” Bull. Acad. Polon. Sci., Ser. Sci., Math., Astron., Phys.,10, No. 12, 637–640 (1962).

    Google Scholar 

  10. A. Zygmund, Trigonometric Series, Vol. I, Cambridge Univ. Press (1968).

  11. I. S. Gradshtein and I. M. Ryzhik, Tables of Integrals, Series, and Products, Academic Press (1966).

Download references

Authors
  1. L. P. Falaleev
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Sibirskii Matematicheskii Zhurnal, Vol. 25, No. 4, pp. 199–206, July–August, 1984.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Falaleev, L.P. Accuracy of representation of conjugate functions by Cesàro sums. Sib Math J 25, 671–677 (1984). https://doi.org/10.1007/BF00968908

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00968908

Keywords

Search

Navigation