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).


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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