Interval Taylor forms
type: Item
instance of: scholarly article
title: Interval Taylor forms
zbMATH Open document ID: 0627.65043
DOI: 10.1007/BF02309558
author: B. George
published in: Computing
publication date: 1987-01-01T00:00:00Z
review text: The Taylor expansion proposed by \textit{E. Hansen} [Math. Comput. 22, 374- 384 (1968; Zbl 0223.65012)] is generalized to degree m and estimates are given for the number of zero entries in the remainder. The expansion is then used to define a Taylor form for the range of a function over an interval and estimates are given for the number of interval variables replaced by real variables due to the special Taylor expansion. The Taylor form is then implemented for factorable functions. Some numerical results are given.
Mathematics Subject Classification ID: 65G30
Mathematics Subject Classification ID: 65H10
Mathematics Subject Classification ID: 26E25
zbMATH DE Number: 4020331
zbMATH Keywords: interval analysis
zbMATH Keywords: interval Taylor forms
zbMATH Keywords: Taylor expansion
zbMATH Keywords: numerical results
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4020331