Skip to main content
Log in

The integral modulus of continuity of functions with quasiconvex fourier coefficients

  • 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

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

Instant access to the full article PDF.

Literature Cited

  1. A. Kolmogoroff, “Sur l'ordre de grandeur des coefficients de la série de Fourier-Lebesgue,” Bull. Acad. Polon., Ser. A, Sci. Math., 83–86 (1923).

  2. A. Zygmund, Trigonometric Series, Warsaw-L'vov (1939).

  3. S. Aljančić and M. Tomić, “Über den Stetigkeitsmodul von Fourier-Reihen mit monotonen Koeffizienten,” Math. Zeitsch.,88, No. 3, 274–284 (1965).

    Google Scholar 

  4. M. Izumi and S. Izumi, “Modulus of continuity of functions defined by trigonometric series,” J. Math. Analysis and Appl.,24, No. 3, 564–581 (1968).

    Google Scholar 

  5. S. A. Telyakovskii, “Some inequalities for trigonometric series with quasiconvex coefficients,” Matem. Sb.,63, No. 3, 426–444 (1964).

    Google Scholar 

  6. S. Aljančić and M. Tomić, “Sur la borne inférieure du module de continuité de la fonction exprimée par les coefficients de Fourier,” Bull. Acad. Serbe, Sci. Math.,40, No. 6, 39–51 (1967).

    Google Scholar 

Download references

Authors

Additional information

Translated from Sibirskii Matematicheskii Zhurnal, Vol. 11, No, 5, pp. 1140–1145, September–October, 1970.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Telyakovskii, S.A. The integral modulus of continuity of functions with quasiconvex fourier coefficients. Sib Math J 11, 847–851 (1970). https://doi.org/10.1007/BF00967844

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00967844

Keywords

Navigation