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On the convergence of multiple Walsh-Fourier series of functions of bounded generalized variation

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Abstract

The convergence of multiple Walsh-Fourier series of functions of bounded generalized variation is investigated. The sufficient and necessary conditions on the sequence λ = {λ n } are found for the convergence of multiple Walsh-Fourier series of functions of bounded partial λ-variation.

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Authors and Affiliations

  1. Institute of Mathematics, Tbilisi State University, Tbilisi, Georgia

    U. Goginava & A. Sahakian

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  1. U. Goginava
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  2. A. Sahakian
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Correspondence to U. Goginava.

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Original Russian Text © U. Goginava, A. Sahakian, 2012, published in Izvestiya NAN Armenii. Matematika, 2012, No. 5, pp. 21–38.

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Goginava, U., Sahakian, A. On the convergence of multiple Walsh-Fourier series of functions of bounded generalized variation. J. Contemp. Mathemat. Anal. 47, 221–233 (2012). https://doi.org/10.3103/S1068362312050020

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  • DOI: https://doi.org/10.3103/S1068362312050020

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