Some refinements of Hermite-Hadamard inequality and an open problem
Classical Analysis and ODEs
2016-11-08 v1
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.
Keywords
Cite
@article{arxiv.1611.01905,
title = {Some refinements of Hermite-Hadamard inequality and an open problem},
author = {Slavko Simic},
journal= {arXiv preprint arXiv:1611.01905},
year = {2016}
}