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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
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
Corresponding
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Abstract

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].

Type
Research Article
Copyright
Copyright © Glasgow Mathematical Journal Trust 2007

References

1.Fink, A. M., A best possible Hadamard inequality, Math. Inequal. Appl., 1 (1998), 223230.Google Scholar
2.Florea, A. and Niculescu, C. P., A Hermite-Hadamard inequality for convex-concave symmetric functions, Bull. Soc. Sci. Math. Roum., 50 (98) (2007), No. 2.Google Scholar
3.Gilbarg, D. and Trudinger, N. S., Elliptic partial differential equations of second order (Springer-Verlag, 1998).Google Scholar
4.Jost, J., Partial differential equations (Springer-Verlag, 2000).Google Scholar
5.Montel, P., Sur les fonctions convexes et les fonctions sousharmonique, Journal de Math., (9), 7 (1928), 2960.Google Scholar
6.Niculescu, C. P. and Persson, L.-E., Old and new on the Hermite-Hadamard inequality, Real Anal. Exchange, 29 (2003/2004), 663686.CrossRefGoogle Scholar
7.Niculescu, C. P. and Persson, L.-E., Convex functions and their applications. A contemporary approach, CMS Books in Mathematics vol. 23 (Springer-Verlag, 2006).Google Scholar
8.Ockendon, J., Howison, S., Lacey, A. and Movchan, A., Applied partial differential equations (Oxford University Press, 2003).Google Scholar
9.Proter, M. H. and Weinberger, H. F., Maximum principles in differential equations (Springer-Verlag, 1984).Google Scholar

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