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Estimates of groups of deviations of faber sums and strong summability of faber series on classes of ψ-integrals

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Abstract

We establish upper bounds for a group of ϕ*-deviations of Faber sums on the classes of ψ-integrals in a complex plane introduced by Stepanets.

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REFERENCES

  1. A. I. Stepanets (2002) Methods of Approximation Theory Institute of Mathematics, Ukrainian Academy of Sciences Kiev

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  3. A. Zygmund (1965) Trigonometric Series Mir Moscow

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  4. V. Totik (1980) ArticleTitleOn the strong approximation of Fourier series Acta Math. Acad. Sci. Hung. 35 157–172

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Authors and Affiliations

  1. Abkhazia University, Sukhumi

    R. A. Lasuriya

Authors
  1. R. A. Lasuriya
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Additional information

Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 56, No. 4, pp. 451–461, April, 2004.

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Lasuriya, R.A. Estimates of groups of deviations of faber sums and strong summability of faber series on classes of ψ-integrals. Ukr Math J 56, 547–559 (2004). https://doi.org/10.1007/s11253-005-0002-4

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  • DOI: https://doi.org/10.1007/s11253-005-0002-4

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