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

2012/10/16 by Ushangi Goginava, Goginava, Ushangi, Artur Sahakian +1
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP

paper · pdf · doi:10.48550/arxiv.1210.4545

arXiv admin note: text overlap with arXiv:1210.4433

arxiv created 2012/10/16 · arxiv updated 2012/10/18

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.

Citations

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

Related

• On the Convergence and Summability of double Walsh-Fourier series of functions of bounded generalized variation
• On Cesáro summability of Fourier series of functions from multidimensional Waterman classes
• On the Approximation Properties of Cesàro Means of Negative Order of double Vilenkin-Fourier Series
• On the convergence of double Fourier series of functions of bounded partial generalized variation
• On the Approximation Properties of Cesàro Means of Negative Order of Vilenkin-Fourier Series