The Hermite-Hadamard inequality in higher dimensions

DOI10.1007/s12220-019-00150-1zbMath1436.26025arXiv1808.07794OpenAlexW2888082354MaRDI QIDQ2303799

Stefan Steinerberger

Publication date: 5 March 2020

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.07794

zbMATH Keywords

Brownian motionconvex functionsubharmonic functionHermite-Hadamard inequality

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Length, area, volume, other geometric measure theory (28A75) Inequalities for sums, series and integrals (26D15) Convexity of real functions of several variables, generalizations (26B25)

Related Items (6)

Improved bounds for Hermite-Hadamard inequalities in higher dimensions ⋮ On Hermite-Hadamard-type inequalities for systems of partial differential inequalities in the plane ⋮ On a generalization of the Hermite-Hadamard inequality and applications in convex geometry ⋮ A dimension-free Hermite–Hadamard inequality via gradient estimates for the torsion function ⋮ Towards optimal gradient bounds for the torsion function in the plane ⋮ Hermite-Hadamard type inequalities for operator (p,h)-convex functions

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