The complex spline approximation of singular integral operators over an open arc.

DOI10.1006/jath.2002.3721zbMath1043.41012OpenAlexW2068120316MaRDI QIDQ1867514

Yong-jia Xu

Publication date: 2 April 2003

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jath.2002.3721

zbMATH Keywords

error estimatesspline approximationCauchy-type integral operators

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Maximal functions, Littlewood-Paley theory (42B25) Integral operators (47G10) Spline approximation (41A15) Approximate quadratures (41A55) Integral equations with kernels of Cauchy type (45E05)

Related Items (3)

On weighted Hadamard-type singular integrals and their applications ⋮ Stability of Cauchy-type singular integral equations over an interval ⋮ Some properties of singular integral operators over an open curve

Cites Work

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• Error analysis for interpolating complex cubic splines with deficiency 2
• The approximation of Cauchy-type integrals by some kinds of interpolatory splines
• Properties of analytic splines. I: Complex polynomial splines
• New Error Bounds for the Quadrature Method for the Solution of Cauchy Singular Integral Equations
• Rates of Convergence for the Method of Classical Collocation for Solving Singular Integral Equations
• Orthogonal Polynomials Associated with Singular Integral Equations Having a Cauchy Kernel
• Complex Cubic Splines
• Linear integral equations

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