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2 results on '"60A10, 60-08, 60E15, 62C20"'

1. Bounds for alpha-Optimal Partitioning of a Measurable Space Based on Several Efficient Partitions

Author

Dall'Aglio, Marco and Di Luca, Camilla

Subjects
Mathematics - Functional Analysis, Mathematics - Optimization and Control, 60A10, 60-08, 60E15, 62C20
Abstract

We provide a two-sided inequality for the alpha-optimal partition value of a measurable space according to n nonatomic finite measures. The result extends and often improves Legut (1988) since the bounds are obtained considering several partitions that maximize the weighted sum of the partition values with varying weights, instead of a single one., Comment: 14 pages, 1 figure. This version contains a corrected proof of part (i) of Theorem 2

Published
2013
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2. Bounds for alpha-Optimal Partitioning of a Measurable Space Based on Several Efficient Partitions

Author

Marco Dall'Aglio and Camilla Di Luca

Subjects
Discrete mathematics, Convex analysis, Applied Mathematics, Functional Analysis (math.FA), Combinatorics, Mathematics - Functional Analysis, Dvoretzky–Wald–Wolfowitz convexity theorem Cake-cutting problems Fair division Optimal partitioning Convex analysis Maxmin solution, Optimization and Control (math.OC), FOS: Mathematics, Partition (number theory), Finite set, Mathematics - Optimization and Control, Analysis, Fair division, Mathematics, 60A10, 60-08, 60E15, 62C20
Abstract

We provide a two-sided inequality for the alpha-optimal partition value of a measurable space according to n nonatomic finite measures. The result extends and often improves Legut (1988) since the bounds are obtained considering several partitions that maximize the weighted sum of the partition values with varying weights, instead of a single one., 14 pages, 1 figure. This version contains a corrected proof of part (i) of Theorem 2

Published
2013

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