The use of spline-on-spline for the approximation of Cauchy principal value integrals
type: Item
instance of: scholarly article
title: The use of spline-on-spline for the approximation of Cauchy principal value integrals
zbMATH Open document ID: 0904.65026
DOI: 10.1016/0096-3003(95)00277-4
author: G. Hossein Behforooz
published in: Applied Mathematics and Computation
publication date: 1999-01-19T00:00:00Z
review text: The use of spline-on-spline approximations to estimate Cauchy principal value integrals and their derivatives is discussed. Better results than those obtained by differentiating traditional single spline approximations might be expected. Unfortunately, the proofs of convergence (Theorems 3.2, 3.3) appear to be flawed because of the assumption of condition (3.4), since, as printed, this cannot be satisfied except trivially.
Mathematics Subject Classification ID: 65D32
Mathematics Subject Classification ID: 65D07
Mathematics Subject Classification ID: 41A15
Mathematics Subject Classification ID: 41A55
zbMATH DE Number: 1006558
zbMATH Keywords: spline-on-spline approximations
zbMATH Keywords: Cauchy principal value integrals
zbMATH Keywords: convergence
reviewed by: William E. Smith
MaRDI profile type: Publication
full work available at URL: 0096-3003(95)00277-4
OpenAlex ID: W2052235948
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description: scientific article; zbMATH DE number 1006558