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Convergence of Cesàro means of negative order of functions of bounded generalized second variation

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Abstract

A result is obtained for a function of bounded generalized second variation that generalizes a theorem of R. Salem. An analogous theorem is proved for Cesàro means of negative order. It is shown that, in a certain sense, these theorems cannot be improved.

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Authors and Affiliations

  1. Tbilisi State University, USSR

    T. I. Akhobadze

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  1. T. I. Akhobadze
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Translated from Matematicheskie Zametki, Vol. 20, No. 5, pp. 631–644, November, 1976.

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Akhobadze, T.I. Convergence of Cesàro means of negative order of functions of bounded generalized second variation. Mathematical Notes of the Academy of Sciences of the USSR 20, 914–922 (1976). https://doi.org/10.1007/BF01146910

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  • DOI: https://doi.org/10.1007/BF01146910

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