Pairs of Compact Convex Sets: Fractional Arithmetic with Convex Sets (Hardback or Cased Book)

Pallaschke, Diethard Ernst

ISBN 10: 1402009380 / ISBN 13: 9781402009389

Published by Springer 10/31/2002, 2002

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Pairs of Compact Convex Sets: Fractional Arithmetic with Convex Sets.

Seller Inventory # BBS-9781402009389

Bibliographic Details

• Title: Pairs of Compact Convex Sets: Fractional Arithmetic with Convex Sets (Hardback or Cased Book)
• Publisher: Springer 10/31/2002
• Publication Date: 2002
• Language: English
• ISBN 10: 1402009380
• ISBN 13: 9781402009389
• Binding: Hardback or Cased Book
• Condition: New
• Weight: 1.5 pounds
• Book Type: Book

About this title

Synopsis

Pairs of compact convex sets arise in the quasidifferential calculus of V.F. Demyanov and A.M. Rubinov as sub- and superdifferentials of quasidifferen- tiable functions (see [26]) and in the formulas for the numerical evaluation of the Aumann-Integral which were recently introduced in a series of papers by R. Baier and F. Lempio (see [4], [5], [10] and [9]) and R. Baier and E.M. Farkhi [6], [7], [8]. In the field of combinatorial convexity G. Ewald et al. [36] used an interesting construction called virtual polytope, which can also be represented as a pair of polytopes for the calculation of the combinatorial Picard group of a fan. Since in all mentioned cases the pairs of compact con- vex sets are not uniquely determined, minimal representations are of special to the existence of minimal pairs of compact importance. A problem related convex sets is the existence of reduced pairs of convex bodies, which has been studied by Chr. Bauer (see [14]).