Approximation by Nörlund means of double Fourier series for Lipschitz functions

DOI10.1016/0021-9045(87)90012-8zbMath0636.42003OpenAlexW1985509760MaRDI QIDQ1098032

Ferenc Móricz, Billy E. Rhoades

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)90012-8

zbMATH Keywords

double Fourier seriesCesàro meansNörlund meansrate of uniform approximation

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Cesàro, Euler, Nörlund and Hausdorff methods (40G05) Approximation by other special function classes (41A30)

Related Items (6)

Approximation of certain bivariate functions by almost Euler means of double Fourier series ⋮ Approximation by Nörlund means of quadratical partial sums of double Walsh-Fourier series ⋮ Summability of double Fourier series by Nörlund methods at a point ⋮ Approximation of the quadratic partial sums of double Walsh-Kaczmarz-Fourier series by Nörlund means ⋮ Degree of approximation by means of hexagonal Fourier series ⋮ Unnamed Item

Cites Work

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• A Survey of Degree of Approximation of Continuous Functions
• The Kronecker lemmas for multiple series and some applications

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