On Hermite functions. II
type: Item
instance of: scholarly article
title: On Hermite functions. II
zbMATH Open document ID: 0844.41001
DOI: 10.1007/BF01874438
published in: Acta Mathematica Hungarica
publication date: 1995-09-10T00:00:00Z
review text: [For part I see the author in Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Math. 35, 23-35 (1992; Zbl 0787.33005).] If \(f\) is a continuous function on the real line which does not grow faster than \(e^{x^{2/2}}\), then a sharp estimate on the degree of weighted convergence of Lagrange interpolation is given, when the interpolation is done at the zeros of Hermite polynomials.
Mathematics Subject Classification ID: 41A05
Mathematics Subject Classification ID: 33C45
Mathematics Subject Classification ID: 42C05
zbMATH DE Number: 794421
zbMATH Keywords: Lagrange interpolation
zbMATH Keywords: Hermite polynomials
author: I. Joó
reviewed by: R. Askey
MaRDI profile type: Publication
cites work: Q5585538
cites work: On polynomial approximation with the weight 363-1363-1363-1
cites work: Mean Convergence of Expansions in Laguerre and Hermite Series
cites work: Notes on interpolation. VI
cites work: Q4272095
cites work: Saturation theorems for Hermite-Fourier series
cites work: Some saturation theorems for classical orthogonal expansions. I
cites work: Some saturation theorems for classical orthogonal expansions. II
description: scientific article; zbMATH DE number 794421