On the Convergence and Summability of double Walsh-Fourier series of functions of bounded generalized variation

2014/02/06 by Goginava, Ushangi, Sahakian, Artur
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1402.1272

Abstract

The convergence of partial sums and Cesáro means of negative order of double Walsh-Fourier series of functions of bounded generalized variation is investigated.

Related

• On the convergence of Cesàro means of negative order of double trigonometric Fourier series of functions of bounded partial generalized variation
• Convergence and Summability of Multiple Fourier series and generalized variation
• On the convergence of double Fourier series of functions of bounded partial generalized variation
• Logarithmic means of Walsh-Fourier Series
• On Cesáro summability of Fourier series of functions from multidimensional Waterman classes