Degree of approximation of Fourier series of functions in Besov space by deferred Nörlund mean

DOI10.1142/S1793557122500334zbMath1484.42003OpenAlexW3156517958MaRDI QIDQ5064380

B. P. Padhy, L. Nayak

Publication date: 15 March 2022

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557122500334

zbMATH Keywords

Besov spaceFourier seriesdeferred Cesàro meandeferred Nörlund mean

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Cites Work

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• An estimate of the rate of convergence of Fourier series in the generalized Hölder metric by deferred Cesàro mean
• A generalization of deferred Cesàro means and some of their applications
• On approximation in generalized Zygmund class
• On the generalised Fejér means in the metric of Hölder space
• Zur Konvergenz der Fourierreihen hölderstetiger Funktionen

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