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Item Details
| Title:
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PAIRS OF COMPACT CONVEX SETS
FRACTIONAL ARITHMETIC WITH CONVEX SETS |
| By: |
Diethard Pallaschke, Ryszard Urbanski |
| Format: |
Paperback |
| List price:
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£90.00 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
9048161495 |
| ISBN 13: |
9789048161492 |
| Publisher: |
SPRINGER |
| Pub. date: |
7 December, 2010 |
| Edition: |
Softcover reprint of hardcover 1st ed. 2003 |
| Series: |
Mathematics and Its Applications 548 |
| Pages: |
295 |
| 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]). |
| Illustrations: |
XII, 295 p. |
| Publication: |
Netherlands |
| Imprint: |
Springer |
| Returns: |
Returnable |
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