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Norm Convergence of Double Fejér Means on Unbounded Vilenkin Groups

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Abstract

In this paper we study the criterions of the uniform convergence and L-convergence of double Vilenkin–Fourier series. We also prove that these results are sharp.

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Authors and Affiliations

  1. Institute of Mathematics, University of Debrecen, H-4002, Debrecen, Pf. 400, Hungary

    G. Gát

  2. Department of Mathematics, Faculty of Exact and Natural Sciences, Tbilisi State University, Chavchavadze str. 1, Tbilisi, 0128, Georgia

    U. Goginava

Authors
  1. G. Gát
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  2. U. Goginava
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Correspondence to G. Gát.

Additional information

The first author supported by the Hungarian National Foundation for Scientific Research (OTKA), grant no. K111651 and by project EFOP-3.6.1-16-2016-00022 supported by the European Union, co-financed by the European Social Fund.

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Gát, G., Goginava, U. Norm Convergence of Double Fejér Means on Unbounded Vilenkin Groups. Anal Math 45, 39–62 (2019). https://doi.org/10.1007/s10476-018-0402-y

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  • DOI: https://doi.org/10.1007/s10476-018-0402-y

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