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

Published online by Cambridge University Press:  01 September 2007

MIHAI MIHĂILESCU  and
CONSTANTIN P. NICULESCU
MIHAI MIHĂILESCU*
Affiliation:
Department of Mathematics, University of Craiova, 200585 Craiova, Romania e-mail: mmihailes@yahoo.comcniculescu47@yahoo.com
CONSTANTIN P. NICULESCU
Affiliation:
Department of Mathematics, University of Craiova, 200585 Craiova, Romania e-mail: mmihailes@yahoo.comcniculescu47@yahoo.com
*
*Correspondence address: Mihai Mihăilescu, Department of Mathematics, University of Craiova, 200585 Craiova, Romania. E-mail: mmihailes@yahoo.com
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Abstract

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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].

Keywords

35R4535J1535J60.
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 49 , Issue 3 , September 2007 , pp. 509 - 514
Copyright
Copyright © Glasgow Mathematical Journal Trust 2007

References

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