arXiv:2010.01259 Abstract | arXiv Analytics

arXiv:2010.01259 [math.FA]Abstract References Reviews Resources

The logarithmic mean of two convex functionals

Published 2020-10-03Version 1

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.

Comments: 21 pages

Categories: math.FA

Keywords: logarithmic mean, convex functionals, functional theoretical results, operator versions

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