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On the Generalized Cesáro Summability of Trigonometric Fourier Series

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Abstract

The class of generalized bounded variation is considered. For functions from this class, the deviation of the generalized Cesáro means of negative order in the norm of Lr, (1 ≤ r ≤ ∞) is estimated.

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Acknowledgments

The authors are very grateful to the referee for the careful reading of the paper and helpful comments and remarks, which have allowed the authors to improve the quality of the paper.

Funding

This work was supported by Shota Rustaveli National Science Foundation of Georgia (SRNSFG) under grant no. FR-18-1599.

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Correspondence to T. I. Akhobadze or Sh. V. Zviadadze.

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The article was submitted by the authors for the English version of the journal.

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Akhobadze, T.I., Zviadadze, S.V. On the Generalized Cesáro Summability of Trigonometric Fourier Series. Math Notes 107, 898–906 (2020). https://doi.org/10.1134/S000143462005020X

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  • DOI: https://doi.org/10.1134/S000143462005020X

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