Generalized Picard singular integrals

DOI10.1016/J.CAMWA.2008.09.026zbMath1186.42009OpenAlexW2060334494MaRDI QIDQ971551

George A. Anastassiou, Ali Aral

Publication date: 16 May 2010

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2008.09.026

zbMATH Keywords

rate of convergence\(q\)-exponentialPicard singular integralnonisotropic distance

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Integral operators (45P05)

Related Items (1)

An asymptotic model for solving mixed integral equation in some domains

Cites Work

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• A \(q\)-analogue of the Euler gamma integral
• Interpolation and approximation by polynomials
• Bleimann, Butzer, and Hahn operators based on the \(q\)-integers
• On convergence of singular integrals with non-isotropic kernels
• Global smoothness preservation by singular integrals
• Remark on the Degree of Approximation of Continuous Functions by Singular Integrals
• Convergence of generalized singular integrals to the unit, univariate case

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