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Hadamard-Type Inequalities for Twice Differentiable Functions

El Farissi, Abdallah and Latreuch, Zinelaâbidine and Belaïdi, Benharrat (2009) Hadamard-Type Inequalities for Twice Differentiable Functions. Research report collection, 12 (1).

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Abstract

In this paper we give an estimate, from below and from above, of the mean value of the function f : [a, b] → R such that f is continuous on [a, b] and twice differentiable on (a, b) .

Item Type: Article
Uncontrolled Keywords: convex functions, Hermite-Hadamard integral inequality, twice differentiable functions, open question
Subjects: FOR Classification > 0101 Pure Mathematics
Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Depositing User: Research Group in Mathematical Inequalities and Applications
Date Deposited: 09 Feb 2012 21:38
Last Modified: 23 May 2013 16:51
URI: http://vuir.vu.edu.au/id/eprint/17672
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