Limiting values under scaling of the Lebesgue function for polynomial interpolation on spheres
type: Item
instance of: scholarly article
title: Limiting values under scaling of the Lebesgue function for polynomial interpolation on spheres
zbMATH Open document ID: 0927.41002
published in: Journal of Approximation Theory
publication date: 1999-07-11T00:00:00Z
review text: We consider interpolation by spherical harmonics at points on a \((d-1)\)-dimensional sphere and show that, in the limit, as the points coalesce under an angular scaling, the Lebesgue function of the process converges to that of an associated algebraic interpolation problem for the original angles considered as points in \(\mathbb{R}^{d-1}\).
Mathematics Subject Classification ID: 41A05
zbMATH DE Number: 1271298
zbMATH Keywords: spherical interpolation
zbMATH Keywords: paraboloidal interpolation
zbMATH Keywords: fundamental Lagrange polynomials
zbMATH Keywords: Lebesgue function
author: Len Bos
author: Stefano De Marchi
reviewed by: Wiesław Pleśniak
MaRDI profile type: Publication
cites work: Q5543516
cites work: Q4040962
description: scientific article; zbMATH DE number 1271298