Degree of convergence of a function of several variables in generalized Hölder spaces

DOI10.1002/MMA.9034zbMath1529.42003MaRDI QIDQ6139303

Unnamed Author, Hare Krishna Nigam, Hari M. Srivastava

Publication date: 18 December 2023

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

modulus of continuitygeneralized Hölder spacesdegree of convergence\(N\)-dimensional conjugate Fourier series\(N\)-dimensional matrix transformations

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Convergence and absolute convergence of Fourier and trigonometric series (42A20)

Cites Work

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• On the Cesàro summability of double Fourier series
• On the degrees of approximation of functions belonging to L^p (ω̃)_β class by matrix means of conjugate Fourier series
• On the Summability of Fourier Series. I
• Approximation by the Kλ means of Fourier series and conjugate series of functions in Hα,p
• Best approximation of conjugate of a function in generalized Zygmund
• The degree of approximation of functions, and their conjugates, belonging to several general Lipschitz classes, by Hausdorff matrix means of their Fourier series and conjugate series of their Fourier series
• Extension of a theorem of Ferenc Lukács from single to double conjugate series

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