Interval approximation of higher order to the ranges of functions
type: Item
instance of: scholarly article
title: Interval approximation of higher order to the ranges of functions
zbMATH Open document ID: 0849.65004
DOI: 10.1016/0898-1221(96)00020-X
author: Qun Lin
author: J. Rokne
publication date: 1996-11-11T00:00:00Z
review text: Some of the results obtained earlier by the authors are now generalized and extended to higher-order approximations for multivariate polynomials and functions. First the Bernstein and the \(B\)-spline forms of multivariate polynomials are described. Next, a multivariate Taylor formula is derived. In the final section these results are combined in an effective approximation method of higher order to the range of functions. Due to the extensive computations an implementation on a computer is recommended. Examples are not presented.
reviewed by: Z.Schneider
Mathematics Subject Classification ID: 65D07
Mathematics Subject Classification ID: 65G30
Mathematics Subject Classification ID: 41A63
Mathematics Subject Classification ID: 41A15
zbMATH DE Number: 880531
zbMATH Keywords: multivariate functions
zbMATH Keywords: Bernstein polynomial
zbMATH Keywords: interval analysis
zbMATH Keywords: multivariate polynomials
zbMATH Keywords: \(B\)-spline
zbMATH Keywords: multivariate Taylor formula
zbMATH Keywords: range of functions
MaRDI profile type: Publication
cites work: Q5566070
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cites work: Q3707258
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full work available at URL: 0898-1221(96)00020-x
OpenAlex ID: W2024342772
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 880531