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Weakened continuity in Λ-variation and localization of double Cesáro means

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Abstract

The localization of Cesáro means of negative order is studied for a double Fourier series with respect to cross neighborhoods. A sufficient condition of localization is obtained in terms of Λ-variation of the function which is weaker than the sufficient condition for classic localization known before.

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Authors and Affiliations

  1. Faculty of Mechanics and Mathematics, Moscow State University, Leninskie Gory, Moscow, 119991, Russia

    A. N. Bakhvalov

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  1. A. N. Bakhvalov
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Additional information

Original Russian Text © A.N. Bakhvalov, 2013, published in Vestnik, Moskovskogo Universiteta, Matematika. Mekhanika, 2013, Vol. 67, No. 4, pp. 8–14.

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Bakhvalov, A.N. Weakened continuity in Λ-variation and localization of double Cesáro means. Moscow Univ. Math. Bull. 68, 182–187 (2013). https://doi.org/10.3103/S0027132213040025

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  • DOI: https://doi.org/10.3103/S0027132213040025

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