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arXiv · 1210.4433

On the convergence of double Fourier series of functions of bounded partial generalized variation

Ushangi Goginava·Artur Sahakian
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Abstract

The convergence of double Fourier series of functions of bounded partial $\Lambda$-variation is investigated. The sufficient and necessary conditions on the sequence $\Lambda=\{\lambda_n\}$ are found for the convergence of Fourier series of functions of bounded partial $\Lambda$-variation.

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Ushangi Goginava, Artur Sahakian. 2012-10-16. On the convergence of double Fourier series of functions of bounded partial generalized variation. https://arxiv.org/abs/1210.4433

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