Quadrature sums and Lagrange interpolation for general exponential weights
type: Item
instance of: scholarly article
title: Quadrature sums and Lagrange interpolation for general exponential weights
zbMATH Open document ID: 1020.41003
DOI: 10.1016/S0377-0427(02)00747-1
author: D. G. Kubayi
author: Doron S. Lubinsky
published in: Journal of Computational and Applied Mathematics
publication date: 2003-05-19T00:00:00Z
review text: This paper is concerned with the derivation of forward and converse quadrature sum estimates associated with zeros of an orthogonal polynomials for general exponential weights \(W(x)\) such that \[ W(x)=\exp(-(1-x^2)^ {-\alpha }), \quad x\in \mathbb R, \quad \alpha >0. \] The application to the mean convergence of Lagrange interpolation at zeros of orthogonal polynomial, that has been throughly investigated for even exponential weights, is here extended by considering noneven weights on a real interval \(I=(c,d)\), where \(-\infty \leq c < 0 < d \leq \infty .\)
Mathematics Subject Classification ID: 41A05
zbMATH DE Number: 1912304
zbMATH Keywords: quadrature sums
zbMATH Keywords: Lagrange interpolation
zbMATH Keywords: exponential weights
reviewed by: Luigi Gatteschi
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1912304