Saturation classes of the Cesàro and Abel-Poisson means of Fourier-Legendre series

DOI10.1007/BF01903379zbMath0396.41010OpenAlexW2038731725MaRDI QIDQ4179342

Rudolf L. Stens, M. Wehrens, Paul L. Butzer

Publication date: 1979

Published in: Acta Mathematica Academiae Scientiarum Hungaricae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01903379

zbMATH Keywords

Cesaro MeanApproximation By Algebraic PolynomialsAbel-Poisson Means of Fourier-Legendre SeriesSaturation Classes

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Saturation in approximation theory (41A40)

Related Items (4)

On problems of approximation in \(L_ 2\) spaces ⋮ A retrospective on research visits of Paul Butzer's Aachen research group to Eastern Europe and Tenerife ⋮ Applications of the Bernstein-Durrmeyer operators in estimating the norm of Mercer kernel matrices ⋮ A construction of processes of best approximation

Cites Work

• Sur la saturation des procédés de sommation
• The approximation of functions by typical means of their Fourier series
• Approximation processes for fourier-jacobi expansions^†
• Classical Expansions and Their Relation to Conjugate Harmonic Functions
• Limitierungsverfahren von Reihen mehrdimensionaler Kugelfunktionen und deren Saturationsverhalten
• AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION
• Classes de saturation de certains procédés d'approximation des séries de Fourier des fonctions continues et applications à quelques problèmes d'approximation
• Sur l'ordre de grandeur de l'approximation d'une fonction périodique par les sommes de Fejér
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