On a class of summability methods for multiple Fourier series

DOI10.1070/SM2013v204n03ABEH004302zbMath1408.42002OpenAlexW2036340875MaRDI QIDQ2841111

M. I. D'yachenko

Publication date: 24 July 2013

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm2013v204n03abeh004302

zbMATH Keywords

multiple Fourier seriesgeneralized Cesàro meanssummability methods

Mathematics Subject Classification ID

Cesàro, Euler, Nörlund and Hausdorff methods (40G05) Summability and absolute summability of Fourier and trigonometric series (42A24)

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Approximation of continuous on a segment functions with the help of linear combinations of sincs ⋮ Sufficient condition for convergence of Lagrange-Sturm-Liouville processes in terms of one-sided modulus of continuity ⋮ Error estimate for uniform approximation by Lagrange-Sturm-Liouville processes ⋮ The Principle of Localization at the Class of Functions Integrable in the Riemann for the Processes of Lagrange –Sturm – Liouville ⋮ On some properties of sinc approximations of continuous functions on the interval ⋮ Uniform convergence of Lagrange - Sturm - Liouville processes on one functional class ⋮ On the uniform approximation of functions of bounded variation by Lagrange interpolation polynomials with a matrix of Jacobi nodes ⋮ A criterion of convergence of Lagrange-Sturm-Liouville processes in terms of one-sided module of variation ⋮ Convergence of the Lagrange-Sturm-Liouville Processes for Continuous Functions of Bounded Variation ⋮ On necessary and sufficient conditions for convergence of sinc-approximations

Cites Work

• Multiple Fourier series and integrals
• Generalized Cesàro summation of multiple Fourier series
• Note on the differentiability of multiple integrals
• On the strong derivatives of functions of intervals
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