On Some Singular Integrals in Hölder Spaces

DOI10.1002/mana.19941700108zbMath0822.42010OpenAlexW2013809069MaRDI QIDQ4321252

B. Firlejy, Lucyna Rempulska

Publication date: 2 February 1995

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.19941700108

zbMATH Keywords

singular integralsHölder spacesPicardGauss-WeierstrassPoisson-Cauchy

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) (H^p)-spaces (42B30) Approximation by positive operators (41A36)

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Approximation of functions in a weighted Lebesgue space by means of the Picard singular integral ⋮ On Some Bivariate Gauss-Weierstrass Operators

Cites Work

• On approximation of continuous functions in Lipschitz norms
• Error estimates in generalized trigonometric Hölder-Zygmund norms
• On the Rate of Convergence of Singular Integrals for Hölder Continuous Functions
• Zur Konvergenz der Fourierreihen hölderstetiger Funktionen