arXiv:1809.01820 Abstract | arXiv Analytics

arXiv:1809.01820 [math.FA]Abstract References Reviews Resources

Some Inequalities involving Heron and Heinz Means of two Convex Functionals

Published 2018-09-06Version 1

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.

Comments: 17 pages

Categories: math.FA

Subjects: 46N10, 46A20, 47A63, 47N10

Keywords: heinz means, convex functionals, nice way, operator versions, functional means

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