An Analytic and Numerical Analysis of Weighted Singular Cauchy Integrals with Exponential Weights on ℝ

DOI10.1080/01630563.2022.2112051zbMath1505.41021arXiv1711.09495OpenAlexW4296244619WikidataQ114100996 ScholiaQ114100996MaRDI QIDQ5038146

Steven B. Damelin, Kai Diethelm

Publication date: 29 September 2022

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.09495

zbMATH Keywords

singular integralnumerical approximationquadratureweighted approximationorthogonal polynomialCauchy principal value integralexponential weightErdős weightfreud weight

Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Numerical integration (65D30) Weighted approximation (41A81)

Uses Software

• ORTHPOL

Cites Work

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• Bounds and Asymptotics for Orthogonal Polynomials for Varying Weights
• Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory
• Orthogonal polynomials for exponential weights

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