A Representation of the Interval Hull of a Tolerance Polyhedron Describing Inclusions of Function Values and Slopes

Gerhard Heindl ()
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Gerhard Heindl: Universität Wuppertal, Fachbereich Mathematik

A chapter in Developments in Reliable Computing, 1999, pp 269-278 from Springer

Abstract: Abstract Given a nonempty set of functions $$\begin{gathered} F = \{ f:[a,b] \to \mathbb{R}: \hfill \\ f({x_i}) \in {w_i}, i = 0,...,n, and \hfill \\ f(x) - f(y) \in {d_i}(x - y) \forall x,y \in [{x_{i - 1}},{x_i}], i = 1,...,n\} ,\hfill \\ \end{gathered} $$ where a = x 0

Keywords: Simple Formula; Elementary Calculation; Extremal Function; Compact Interval; Interval Extension (search for similar items in EconPapers)
Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-017-1247-7_21

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DOI: 10.1007/978-94-017-1247-7_21

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