Optimal bicentered form
type: Item
instance of: scholarly article
title: Optimal bicentered form
zbMATH Open document ID: 1030.65041
DOI: 10.1023/A:1024664312457
author: Youkang Fang
published in: Reliable Computing
publication date: 2003-08-06T00:00:00Z
review text: Centered forms are well-known inclusion functions for real functions. \textit{E. Baumann} [BIT 28, No. 1, 80-87 (1988; Zbl 0641.65043)] established an optimal developing point for the construction of centered forms. Originally, he has two such points, one for the upper boundary and one for the lower boundary of the inclusion function. Now, the author brings these two points into a ``symmetric'' form for getting a closed expression and creats thus the optimal bicentered form. An estimation of the related excess-width is also given.
Mathematics Subject Classification ID: 65G30
zbMATH DE Number: 1960031
zbMATH Keywords: interval arithmetic
zbMATH Keywords: centered forms
zbMATH Keywords: inclusion functions
zbMATH Keywords: optimal bicentered form
reviewed by: H. Ratschek
MaRDI profile type: Publication
full work available at URL: a:1024664312457
OpenAlex ID: W108990162
description: scientific article; zbMATH DE number 1960031