Improved bounds for Hermite-Hadamard inequalities in higher dimensions

Thomas Beck (1) , Barbara Brandolini (2) , Krzysztof Burdzy (3) , Antoine Henrot (4) , Jeffrey J Langford (5) , Simon Larson (6) , Robert Smits (7) , Stefan Steinerberger (8)

1 UNC - University of North Carolina [Chapel Hill]
2 Dipartimento di Matematica e Applicazioni “Renato Caccioppoli”
3 Department of Mathematics [Seattle]
4 IECL - Institut Élie Cartan de Lorraine
5 Bucknell University
6 KTH Royal Institute of Technology - Department of Mathematics
7 New Mexico State University
8 Department of Mathematics [Yale University]

Mots clés: Hermite-Hadamard inequality; convexity; subharmonic functions

Domaines: Equations aux dérivées partielles [math.AP]

Thomas Beck, Barbara Brandolini, Krzysztof Burdzy, Antoine Henrot, Jeffrey J Langford, et al.. Improved bounds for Hermite-Hadamard inequalities in higher dimensions. The Journal of Geometric Analysis, In press, ⟨10.1007/s12220-019-00300-5⟩. ⟨hal-02319509⟩