An approach of majorization in spaces with a curved geometry

DOI10.1016/j.jmaa.2013.09.038zbMath1325.39016arXiv1204.0929OpenAlexW2079410543MaRDI QIDQ2019044

Ionel Rovenţa, Constantin P. Niculescu

Publication date: 27 March 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.0929

zbMATH Keywords

functional inequalitiesSchur convexityWasserstein distancegeneralized convex functionsWasserstein spacescurved geometryglobal NPC spacesHardy-Littlewood-Pólya majorization theoremmajorization of measures

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Functional inequalities, including subadditivity, convexity, etc. (39B62)

Related Items (10)

Hardy-Littlewood-Polya's inequality and a new concept of weak majorization ⋮ Sherman's inequality and its converse for strongly convex functions with applications to generalized f-divergences ⋮ Some remarks on convex network flows for \(K\)-spiders ⋮ New versions of uniformly convex functions via quadratic complete homogeneous symmetric polynomials ⋮ Sherman's functional, its properties with applications for f-divergence measure ⋮ The Hardy-Littlewood-Pólya inequality of majorization in the context of \(\omega\)-\(\mathbf{m}\)-star-convex functions ⋮ Convex geometric means ⋮ Relative convexity and its applications ⋮ A note on the positivity of the even degree complete homogeneous symmetric polynomials ⋮ An approach of majorization in spaces with a curved geometry

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