Approximation to continuous functions by Cesàro means of double Fourier series and conjugate series

DOI10.1016/0021-9045(87)90074-8zbMath0617.42013OpenAlexW2026084941MaRDI QIDQ1821989

Xian Liang Shi, Ferenc Móricz

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0021-9045(87)90074-8

zbMATH Keywords

conjugate seriesFourier seriesexampleslogarithmic factors

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Harmonic analysis in several variables (42B99) Fourier series and coefficients in several variables (42B05)

Related Items (8)

Approximation of certain bivariate functions by almost Euler means of double Fourier series ⋮ An exact constant on the estimation of the approximation of classes of periodic functions of two variables by Ceśaro means ⋮ Approximation by Nörlund means of double Fourier series to continuous functions in two variables ⋮ On a conjecture of F. Móricz and X. L. Shi ⋮ A constructive method related to generalizations of the uniform boundedness principle and its applications ⋮ Trigonometric approximation of functions \(f(x,y)\) of generalized Lipschitz class by double Hausdorff matrix summability method ⋮ Strong uniform approximation by double Fourier series ⋮ Degree of approximation by means of hexagonal Fourier series

Cites Work

• Smooth functions
• On the boundary values of functions of several complex variables, I
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