A quantitative version of the Dirichlet-Jordan test for double Fourier series

DOI10.1016/0021-9045(92)90124-7zbMath0758.42004OpenAlexW1970549145MaRDI QIDQ1195878

Ferenc Móricz

Publication date: 26 January 1993

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(92)90124-7

zbMATH Keywords

double Fourier seriesDirichlet-Jordan testrectangular oscillation of a function of two variables

Mathematics Subject Classification ID

Fourier series and coefficients in several variables (42B05)

Related Items (6)

Rate of convergence of double Fourier series of functions of generalized bounded variation ⋮ On the convergence of absolute summability for functions of bounded variation in two variables ⋮ Unnamed Item ⋮ Approximation by rectangular partial sums of double conjugate Fourier series ⋮ On the rate of convergence of Fourier series of functions of bounded variation in two variables ⋮ Unnamed Item

Cites Work

• Absolutely Continuous Functions of Two Variables and Well-Bounded Operators
• Convergence Criteria for Double Fourier Series
• On Definitions of Bounded Variation for Functions of Two Variables
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