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On approximation by Abel–Poisson and conjugate Abel–Poisson means in Hölder metric

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Abstract

The degree of approximation (in Hölder metric) of a periodic function belonging to a specific Hölder class by its Abel–Poisson means of Fourier series and of the conjugate function by the conjugate Abel–Poisson means of the conjugate series of the Fourier series is obtained.

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Acknowledgements

We would like to thank the reviewers for their helpful comments which improved the manuscript of this paper.

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  1. Department of Teaching Mathematics, Faculty of Education, University of Prishtina, Avenue “Mother Theresa” no. 5, Prishtina, 10000, Republic of Kosovo

    Xhevat Z. Krasniqi

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Krasniqi, X.Z. On approximation by Abel–Poisson and conjugate Abel–Poisson means in Hölder metric. Afr. Mat. 35, 51 (2024). https://doi.org/10.1007/s13370-024-01190-9

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