Autor:	Dall'Aglio, Marco, Di Luca, Camilla
Rok vydání:	2013
Předmět:	Mathematics - Functional Analysis Mathematics - Optimization and Control 60A10 60-08 60E15 62C20
Zdroj:	J. Math. Anal. Appl. 425 (2015), no.2, 854--863
Druh dokumentu:	Working Paper
DOI:	10.1016/j.jmaa.2014.12.056
Popis:	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
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1308.3504 Zobrazit plný text záznamu View this record from Arxiv