Some Inequalities involving Heron and Heinz Means of two Convex Functionals
Functional Analysis
2018-12-20 v2
Abstract
In this paper we first introduce the Heron and Heinz means of two convex functionals. Afterwards, some inequalities involving these functional means are investigated. The operator versions of our theoretical functional results are immediately deduced. We also obtain new refinements of some known operator inequalities via our functional approach in a fast and nice way.
Cite
@article{arxiv.1809.01820,
title = {Some Inequalities involving Heron and Heinz Means of two Convex Functionals},
author = {Mustapha Raïssouli and Shigeru Furuichi},
journal= {arXiv preprint arXiv:1809.01820},
year = {2018}
}
Comments
17 pages. A few errors were modified