The differential mean value of divided differences
type: Item
instance of: scholarly article
title: The differential mean value of divided differences
zbMATH Open document ID: 1108.26006
author: Ulrich Abel
author: Mircea Ivan
published in: Journal of Mathematical Analysis and Applications
publication date: 2006-12-07T00:00:00Z
review text: This highly technical paper deals with the asymptotic behaviour of \(\eta\) in the following expression of the \(n\)th divided difference of an \(n\) times continuously differentiable function \(f\): \([x_0,x_1,\dots,x_n;f]=f(n) (\eta)/n!\).
reviewed by: János Aczél
Mathematics Subject Classification ID: 26A24
Mathematics Subject Classification ID: 39A70
Mathematics Subject Classification ID: 41A60
zbMATH DE Number: 5078947
zbMATH Keywords: asymptotic expansions
zbMATH Keywords: asymptotic approximations
Wikidata QID: Q115600880
MaRDI profile type: Publication
full work available at URL: j.jmaa.2006.01.088
OpenAlex ID: W2058155767
cites work: On the Lagrange Remainder of the Taylor Formula
cites work: Q3365626
cites work: Q4769056
cites work: Means and divided differences
cites work: Limit properties of differential mean values
cites work: Q4520097
DOI: 10.1016/J.JMAA.2006.01.088
description: scientific article; zbMATH DE number 5078947