The Hermite–Hadamard inequality for log-convex functions

By Constantin P. Niculescu. Nonlinear Analysis, 2012

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Abstract We discuss the existence of a strengthening of Hermite–Hadamard inequality in the case of log-convex functions. Unlike the classical case, which belongs to the field of linear functional analysis, this analogue involves nonlinear means such as the geometric mean and the logarithmic mean.

Subfields: Applied Mathematics

View Paper: https://www.semanticscholar.org/paper/05067846a345f9aaf2a3ad1a3a0f2d462d51a010