AN EXTENSION OF THE HERMITE-HADAMARD INEQUALITY THROUGH SUBHARMONIC FUNCTIONS*

DOI10.1017/S0017089507003837zbMath1136.35022MaRDI QIDQ5448984

Constantin P. Niculescu, Mihai Mihăilescu

Publication date: 10 March 2008

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

elliptic equationssubharmonic functionsHermite-Hadamard inequality

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Inequalities for sums, series and integrals (26D15)

Related Items (8)

Improved bounds for Hermite-Hadamard inequalities in higher dimensions ⋮ A new class of operator monotone functions via operator means ⋮ The Hermite-Hadamard type inequality of GA-convex functions and its application ⋮ Refinements of the Hermite-Hadamard inequality in NPC global spaces ⋮ A dimension-free Hermite–Hadamard inequality via gradient estimates for the torsion function ⋮ Towards optimal gradient bounds for the torsion function in the plane ⋮ The Hermite-Hadamard inequality in higher dimensions ⋮ The Hermite-Hadamard inequality for convex functions on a global NPC space

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