Degree of approximation of functions in the Hölder metric by \((e,c)\) means

DOI10.1007/BF02837199zbMath0855.42002OpenAlexW4250027214MaRDI QIDQ1917770

Yanyan Li

Publication date: 24 September 1996

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02837199

zbMATH Keywords

Banach spaceFourier seriesdegree of approximationHölder metric\((e,c)\)-mean

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Rate of convergence, degree of approximation (41A25)

Related Items

Degree of approximation of functions \(\tilde f \in H_\omega\) class by the \((N_p \cdot E^1)\) means in the Hölder metric ⋮ Degree of Convergence of Some Operators Associated with Hardy-Littlewood Series for Functions of Class Lip(α, p), p > 1 ⋮ Approximation by the Kλ means of Fourier series and conjugate series of functions in Hα,p

Cites Work

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• A criterion for the (e, c)-summability of Fourier series
• Zur Konvergenz der Fourierreihen hölderstetiger Funktionen
• Notes on the Theory of Series (XXII)^* : On the Tauberian Theorem for Borel Summability
• Degree of approximation of functions in the Hölder metric by Borel's means