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arXiv:1402.3006 [math.OC]AbstractReferencesReviewsResources

On monotonicity of some functionals under rearrangements

S. V. Bankevich, A. I. Nazarov

Published 2014-02-12Version 1

We consider the Polya--Szeg\"o type weighted inequality. We prove this inequality for monotone rearrangement and for Steiner's symmetrization.

Comments: 22 pages. Russian version of this preprint is published in November 2013 and available at http://www.mathsoc.spb.ru/preprint/2013/index.html
Categories: math.OC
Subjects: 49K05, 49N99
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