New bounds for a perturbed generalized Taylor's formula
type: Item
instance of: scholarly article
zbMATH Open document ID: 0997.26010
author: P. Cerone
author: Silvestru Sever Dragomir
publication date: 2002-11-19T00:00:00Z
Mathematics Subject Classification ID: 26D15
Mathematics Subject Classification ID: 41A55
zbMATH DE Number: 1733459
zbMATH Keywords: difference norm bounds
zbMATH Keywords: generalized Taylor series
MaRDI profile type: Publication
title: New bounds for a perturbed generalized Taylor's formula
published in: EAMJ. East Asian Mathematical Journal
review text: An application of the generalized Taylor's formula, \textit{M. Matić}, \textit{J. Pečarić} and \textit{N. Ujević} [Math. Inequal. Appl. 2, No. 3, 343-361 (1999; Zbl 0933.26013)] is given. Perturbed generalized Taylor series are bounded in terms of Lebesgue \(p\)-norms on \([a,b]^2\) for \(f_\Delta:[a,b]^2\to \mathbb{R}\) with \(f_\Delta(t,s)= f(t)- f(s)\).
reviewed by: J. Pečarić
description: scientific article; zbMATH DE number 1733459