Hadamard-Type Inequalities for Twice Differentiable Functions

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

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
URI https://vuir.vu.edu.au/id/eprint/17672
Subjects Historical > FOR Classification > 0101 Pure Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords convex functions, Hermite-Hadamard integral inequality, twice differentiable functions, open question
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