The logarithmic mean of two convex functionals
Functional Analysis
2020-10-07 v2
Abstract
The purpose of this paper is to introduce the logarithmic mean of two convex functionals that extends the logarithmic mean of two positive operators. Some inequalities involving this functional mean are discussed as well. The operator versions of the functional theoretical results obtained here are immediately deduced without referring to the theory of operator means.
Cite
@article{arxiv.2010.01259,
title = {The logarithmic mean of two convex functionals},
author = {Mustapha Raïssouli and Shigeru Furuichi},
journal= {arXiv preprint arXiv:2010.01259},
year = {2020}
}
Comments
21 pages, Some typo's were modified