On the singular integral of de la Vallee-Poussin

DOI10.1007/BF01900307zbMath0073.28103OpenAlexW2030210163MaRDI QIDQ767688

Paul L. Butzer

Publication date: 1956

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01900307

zbMATH Keywords

Approximation and Series Representations of Real Functions

Related Items (9)

On determination of the class of saturation in the theory of approximation of functions. II ⋮ Asymptotic approximation by de la Vallée Poussin means and their derivatives ⋮ De la Vallée Poussin means in Hardy spaces ⋮ Quantitative approximation by nonlinear Picard-Choquet, Gauss-Weierstrass-Choquet and Poisson-Cauchy-Choquet singular integrals ⋮ Aspects of de La Vallée Poussin's work in approximation and its influence ⋮ On the degree of approximation by the operators of De La Vallee Poussin ⋮ Über den Graf der Approximation des Identitätsoperators durch Halbgruppen von linearen Operatoren und Anwendungen auf die Theorie der singulären Integrale ⋮ Zur Frage der Saturationsklassen singulärer Integraloperatoren ⋮ Saturation results for a class of linear operators

Cites Work

• Trigonometric approximation in the mean
• Smooth functions
• Classes de saturation de certains procédés d'approximation des séries de Fourier des fonctions continues et applications à quelques problèmes d'approximation
• Linear Combinations of Bernstein Polynomials
• On the Riemann Derivatives for Integrable Functions
• Majorants in Spaces of Integrable Functions
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