Hermite-Lagrange two-point interpolation via Peano kernels
type: Item
instance of: scholarly article
title: Hermite-Lagrange two-point interpolation via Peano kernels
zbMATH Open document ID: 0688.41003
DOI: 10.1007/BF03322476
author: Burkhard Lenze
author: F. Locher
published in: Results in Mathematics
publication date: 1989-01-01T00:00:00Z
review text: In a recent paper [J. Approximation Theory 53, 17-25 (1988; Zbl 0659.41005)] \textit{G. Berger} and \textit{M. Tasche} presented a constructive approach to Hermite-Lagrange two-point interpolation using Taylor's formula in the theory of right-invertible operators. In this paper we alternatively propose the argumentation via Peano kernels to obtain explicit representation formulas for this special kind of interpolation.
Mathematics Subject Classification ID: 41A05
Mathematics Subject Classification ID: 65D05
zbMATH DE Number: 4127796
zbMATH Keywords: Hermite-Lagrange two-point interpolation
zbMATH Keywords: Taylor's formula
zbMATH Keywords: right- invertible operators
zbMATH Keywords: Peano kernels
MaRDI profile type: Publication
cites work: Hermite-Lagrange interpolation and Schur's expansion of sin \(\pi\) x
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cites work: On the foundations of combinatorial theory. VIII: Finite operator calculus
description: scientific article; zbMATH DE number 4127796