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

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.

Cited by in corpus (2)

• Uniform Convergence of Double Fourier-Legendre series of Functions of Bounded Generalized Variation
• Convergence of multiple Fourier series of functions of bounded generalized variation