Skip to main content
SpringerLink
Log in

On the Taylor Coefficients of Functions from the Classes H1

  • BRIEF COMMUNICATIONS
  • Published:
Ukrainian Mathematical Journal Aims and scope

We establish conditions imposed on the coefficients of power series under which the analyzed series are Taylor series of a function from the class H1.

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

References

  1. I. I. Privalov, Boundary Properties of Analytic Functions [in Russian], Gostekhizdat, Moscow (1950).

    Google Scholar 

  2. A. Zygmund, Trigonometric Series [Russian translation], Vol. 1, Mir, Moscow (1965).

    Google Scholar 

  3. A. Kolmogoroff, “Sur l’ordre de grandeur des coefficients de la série de Fourier–Lebesgue,” Bull. Acad. Polon., Ser. A, 83–86 (1923).

  4. S. A. Telyakovskii, “Some estimates for trigonometric series with quasiconvex coefficients,” Mat. Sb., 63 (105), No. 3, 426–444 (1964).

Download references

Author information

Authors and Affiliations

  1. I. Sikorsky Kyiv Polytechnic Institute, National Technical University of Ukraine, Kyiv, Ukraine

    V. V. Bovsunovska & P. V. Zaderei

Authors
  1. V. V. Bovsunovska
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. P. V. Zaderei
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to V. V. Bovsunovska.

Additional information

Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 74, No. 5, pp. 725–728, May, 2022. Ukrainian DOI: https://doi.org/10.37863/umzh.v74i5.7012.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Bovsunovska, V.V., Zaderei, P.V. On the Taylor Coefficients of Functions from the Classes H1. Ukr Math J 74, 830–833 (2022). https://doi.org/10.1007/s11253-022-02104-3

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11253-022-02104-3

Search

Navigation