Refined inequalities on the weighted logarithmic mean
Classical Analysis and ODEs
2020-04-08 v2
Abstract
Inspired by the recent work by R.Pal et al., we give further refined inequalities for a convex Riemann integrable function, applying the standard Hermite-Hadamard inequality. Our approach is different from their one in \cite{PSMA2016}. As corollaries, we give the refined inequalities on the weighted logarithmic mean and weighted identric mean. Some further extensions are also given.
Cite
@article{arxiv.2001.01345,
title = {Refined inequalities on the weighted logarithmic mean},
author = {Shigeru Furuichi and Nicuşor Minculete},
journal= {arXiv preprint arXiv:2001.01345},
year = {2020}
}