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arXiv · 1210.4545

On the convergence of Cesàro means of negative order of double trigonometric Fourier series of functions of bounded partial generalized variation

Ushangi Goginava·Artur Sahakian
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Abstract

The convergence of Cesàro means of negative order of double trigonometric Fourier series of functions of bounded partial $Λ$-variation is investigated. The sufficient and neccessary conditions on the sequence $Λ=\{λ_{n}\}$ are found for the convergence of Cesàro means of Fourier series of functions of bounded partial $Λ$-variation.

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Ushangi Goginava, Artur Sahakian. 2012-10-16. On the convergence of Cesàro means of negative order of double trigonometric Fourier series of functions of bounded partial generalized variation. https://arxiv.org/abs/1210.4545

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