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AN EXTENSION OF THE HERMITE-HADAMARD INEQUALITY THROUGH SUBHARMONIC FUNCTIONS*
MIHAI MIHĂILESCU, CONSTANTIN P. NICULESCU
Journal:

Glasgow Mathematical Journal / Volume 49 / Issue 3 / September 2007

Published online by Cambridge University Press:

01 September 2007, pp. 509-514

Print publication:

September 2007
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In this paper we obtain a Hermite-Hadamard type inequality for a class of subharmonic functions. Our proofs rely essentially on the properties of elliptic partial differential equations of second order. Our study extends some recent results from [1], [2] and [6].