An inequality for the compositions of convex functions with convolutions and an alternative proof of the Brunn-Minkowski-Kemperman inequality

DOI10.1134/S0081543822050182MaRDI QIDQ2685187

Takashi Satomi

Publication date: 20 February 2023

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.15349

zbMATH Keywords

convolutionconvexitylocally compact groupgeometric measure theorycombinatorial inequality

Mathematics Subject Classification ID

Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Convex and discrete geometry (52-XX)

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Inequality on the optimal constant of Young's convolution inequality for locally compact groups and their closed subgroups

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