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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