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arXiv · 1611.01905

Some refinements of Hermite-Hadamard inequality and an open problem

Slavko Simic
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Abstract

We presented here a refinement of Hermite-Hadamard inequality as a linear combination of its end-points. The problem of best possible constants is closely connected with well known Simpson's rule in numerical integration. It is solved here for a wide class of convex functions, but not in general. Some supplementary results are also given.

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Slavko Simic. 2016-11-07. Some refinements of Hermite-Hadamard inequality and an open problem. https://arxiv.org/abs/1611.01905

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