Global smoothness and uniform convergence of smooth Picard singular operators

DOI10.1016/j.camwa.2005.02.020zbMath1089.47036OpenAlexW1981482908MaRDI QIDQ814128

George A. Anastassiou

Publication date: 2 February 2006

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2005.02.020

zbMATH Keywords

rate of convergencesimultaneous approximationmodulus of smoothnesssimultaneous global smoothnessPicard singular integral

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Integral operators (45P05) Linear operator approximation theory (47A58) Integral operators (47G10) Theoretical approximation of solutions to integral equations (45L05)

Related Items (7)

Global smoothness preservation and simultaneous approximation for multivariate general singular integral operators ⋮ General theory of global smoothness and approximation by smooth singular operators ⋮ A Voronovskaya type theorem for Poisson-Cauchy type singular operators ⋮ Statistical approximation by double Poisson-Cauchy singular integral operators ⋮ Global smoothness and uniform convergence of smooth Gauss-Weierstrass singular operators ⋮ Statistical \(L_p\)-approximation by double Gauss-Weierstrass singular integral operators ⋮ Global smoothness and uniform convergence of smooth Poisson-Cauchy type singular operators

Cites Work

• Rate of convergence of non-positive generalized convolution type operators
• Sharp inequalities for convolution-type operators
• High-order fuzzy approximation by fuzzy wavelet type and neural network operators
• On the Rate of Convergence of Singular Integrals for Hölder Continuous Functions
• Global smoothness preservation by singular integrals
• On the Structure of Locally Solid Topologies
• Remark on the Degree of Approximation of Continuous Functions by Singular Integrals
• Convergence of generalized singular integrals to the unit, univariate case
• Partial shape preserving approximation by bivariate Hermite-Fejér polynomials
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