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Strong Summability of Two-Dimensional Vilenkin–Fourier Series

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Ukrainian Mathematical Journal Aims and scope

We study the exponential uniform strong summability of two-dimensional Vilenkin–Fourier series. In particular, it is proved that the two-dimensional Vilenkin–Fourier series of a continuous function f is uniformly strongly summable to a function f exponentially in the power 1/2. Moreover, it is proved that this result is best possible.

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Authors and Affiliations

  1. Tbilisi State University, Tbilisi, Georgia

    U. Goginava

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  1. U. Goginava
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Correspondence to U. Goginava.

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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 71, No. 3, pp. 340–352, March, 2019.

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Goginava, U. Strong Summability of Two-Dimensional Vilenkin–Fourier Series. Ukr Math J 71, 387–401 (2019). https://doi.org/10.1007/s11253-019-01653-4

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  • DOI: https://doi.org/10.1007/s11253-019-01653-4

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