Pairs of Compact Convex Sets by Diethard Ernst Pallaschke
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Pairs of Compact Convex Sets

Pairs of Compact Convex Sets


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About the Book

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]).


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Product Details
  • ISBN-13: 9789048161492
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Edition: Softcover reprint of hardcover 1st ed. 2003
  • Language: English
  • Returnable: Y
  • Spine Width: 17 mm
  • Weight: 489 gr
  • ISBN-10: 9048161495
  • Publisher Date: 08 Dec 2010
  • Binding: Paperback
  • Height: 234 mm
  • No of Pages: 295
  • Series Title: Mathematics and Its Applications
  • Sub Title: Fractional Arithmetic with Convex Sets
  • Width: 156 mm


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