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Points of strong summability of Fourier series

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Abstract

In this paper we present a new solution of Hardy and Littlewood's problem concerning strong summability of Fourier series; we also present a property of points of strong summability.

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Literature cited

  1. G. H. Hardy and J. E. Littlewood, “Sur la série de Fourier d'une fonction a carré sommable,” Compt. Rend. Acad. Sci. Paris,153, 1307–1309 (1913).

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  2. N. K. Bari, Trigonometrical Series [Russian translation], Moscow (1961).

  3. K. Tandori, “über die starke Summation von Fourierreihen,” Acta Sci. Math.,16, 65–73 (1955).

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  4. K. Tandori, Berichtigung zur Arbeit “über die starke Summation von Fourierreihen,” Acta Sci. Math.,29, Nos. 3–4, 351 (1968).

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Authors and Affiliations

  1. Sukhumskii Pedagogic Institute, USSR

    O. D. Gabisoniya

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  1. O. D. Gabisoniya
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Translated from Matematicheskie Zametki, Vol. 14, No. 5, pp. 615–626, November, 1973.

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Gabisoniya, O.D. Points of strong summability of Fourier series. Mathematical Notes of the Academy of Sciences of the USSR 14, 913–918 (1973). https://doi.org/10.1007/BF01462249

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  • DOI: https://doi.org/10.1007/BF01462249

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