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

  • This article concerns an analytic and numerical analysis of a class of weighted singular Cauchy integrals with exponential weights w:= exp (−Q) with finite moments and with smooth external fields Q:R→[0,∞), with varying smooth convex rate of increase for large argument. Our analysis relies in part on weighted polynomial interpolation at the zeros of orthonormal polynomials with respect to w2. We also study bounds for the first derivatives of a class of functions of the second kind for w2.

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Metadaten
Author:Steven B. Damelin, Kai Diethelm
DOI:https://doi.org/10.1080/01630563.2022.2112051
Parent Title (English):Numerical Functional Analysis and Optimization
Document Type:Article
Language:English
Year of publication:2022
Release Date:2023/08/10
Volume:43
Issue:13
First Page:1538
Last Page:1577
Institutes and faculty:Fakultäten / Fakultät für angewandte Natur- und Geisteswissenschaften
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