Zhang’s Inequality for Log-Concave Functions

DOI10.1007/978-3-030-36020-7_2zbMath1446.52005arXiv1810.07507OpenAlexW2897490706MaRDI QIDQ5115947

David Alonso-Gutiérrez, Bernardo González Merino, Julio Bernués

Publication date: 21 August 2020

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.07507

zbMATH Keywords

integrable log-concave functionsZhang's reverse affine isoperimetric inequality

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Length, area, volume and convex sets (aspects of convex geometry) (52A38) Inequalities involving other types of functions (26D07)

Related Items

General measure extensions of projection bodies, Some remarks on petty projection of log-concave functions, Projection body and isoperimetric inequalities for \(s\)-concave functions, Functional geominimal surface area and its related affine isoperimetric inequality, Brunn-Minkowski inequality for \(\theta\)-convolution bodies via Ball's bodies, Further inequalities for the (generalized) Wills functional, Asymmetric Blaschke-Santaló functional inequalities, From affine Poincaré inequalities to affine spectral inequalities, An extension of Berwald's inequality and its relation to Zhang's inequality, Rogers-Shephard type inequalities for sections, Best approximation of functions by log-polynomials, Minkowski symmetrization and projection bodies, Geometry of log-concave functions: the \(L_p\) Asplund sum and the \(L_p\) Minkowski problem

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