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Marcinkiewicz-type strong means of Fourier—Laplace series

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Abstract

We obtain estimates for Marcinkiewicz-type strong means of the Fourier—Laplace series of continuous functions in terms of the best approximations.

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REFERENCES

  1. S. B. Topuriya (1987) Fourier—Laplace Series on a Sphere Tbilisi University Tbilisi

    Google Scholar 

  2. E. Kogbeliantz (1924) ArticleTitleRecherches sur la summabilite des series ultraspheriques par la méthode des moyennes arithmetiques J. Math. Pures Appl. 9 IssueID3 107–187

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  3. R. A. Lasuriya (2002) ArticleTitle(ϕ, α)-strong summability of Fourier—Laplace series for functions continuous on a sphere Ukr. Mat Zh. 54 IssueID5 656–665

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  4. L. D. Gogoladze, On Summation of Multiple Trigonometric Series and Related Functions [in Russian], Abstract of the Doctoral-Degree Thesis (Physics and Mathematics), Tbilisi (1984).

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

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  6. N. L. Pachuliya (1987) On Strong Summability of Fourier Series Institute of Mathematics, Ukrainian Academy of Sciences Kiev

    Google Scholar 

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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 56, No. 6, pp. 763–773, June, 2004.

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Lasuriya, R.A. Marcinkiewicz-type strong means of Fourier—Laplace series. Ukr Math J 56, 904–918 (2004). https://doi.org/10.1007/PL00022175

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  • DOI: https://doi.org/10.1007/PL00022175

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