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Integral inequalities for concave functions with applications to special functions

Published online by Cambridge University Press:  14 November 2011

J. L. Brenner  and
Horst Alzer
J. L. Brenner
Affiliation:
10 Phillips Road, Palo Alto, California 94303-2857, U.S.A.
Horst Alzer
Affiliation:
Department of Mathematics, Applied Mathematics & Astronomy, University of South Africa, Pretoria, South Africa
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Synopsis

In this paper we prove refinements, extensions and counterparts of known integral inequalities for concave functions. Furthermore, we apply our results to find new inequalities for some special functions and mean values.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 118 , Issue 1-2 , 1991 , pp. 173 - 192
Copyright
Copyright © Royal Society of Edinburgh 1991

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