Strong and best approximation of Fourier series and the Lipschitz classes

DOI10.1007/BF02116976zbMath0391.42002OpenAlexW126424106MaRDI QIDQ1251350

László Leindler

Publication date: 1978

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02116976

zbMATH Keywords

Best ApproximationClass Lip1Conjugate FunctionEstimationsLipschitz ClassSequence of MultipliersStrong and Best Approximation of Fourier Series

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Lipschitz (Hölder) classes (26A16) Best approximation, Chebyshev systems (41A50) Multipliers in one variable harmonic analysis (42A45)

Related Items (11)

Strong uniform approximation by double Fourier series ⋮ Characterization of periodic function spaces via means of Abel-Poisson and Bessel-potential type ⋮ On strong summability of multiple Fourier series and smoothness properties of functions ⋮ Strong summability of Fourier series and generalized Morrey spaces ⋮ Strong summability of Fourier series and Morrey spaces ⋮ Derivative functions and strong approximation of Fourier series. II ⋮ New sequels of a problem of Alexits ⋮ Derivative functions and strong approximation of Fourier series. II ⋮ Derivative functions and strong approximation of Fourier series ⋮ On a problem of L. Leindler concerning strong approximation by Fourier series and Lipschitz classes ⋮ Additional results on the strong approximation of Fourier series

Cites Work

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• Strong approximation of Fourier series and structural properties of functions
• Über die Approximation im starken Sinne
• Über die Sättigungsklasse der starken Approximation durch Teilsummen der Fourierschen Reihe
• Note on strong approximation by Fourier series
• Classes de saturation des procédés de sommation des séries de Fourier et applications aux séries trigonométriques

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