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arXiv · 1612.05685

Reverses and Refinements of Jensen's Inequality for Positive Linear Functionals on Hermitian Unital Banach *-Algebras

Silvestru Sever Dragomir
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Abstract

We establish in this paper some inequalities for analytic and convex functions on an open interval and positive normalized functionals defined on a Hermitian unital Banach *-algebra. Reverses and refinements of Jensen's and Slater's type inequalities are provided. Some examples for particular convex functions of interest are given as well.

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BibTeXRIS

Silvestru Sever Dragomir. 2016-12-17. Reverses and Refinements of Jensen's Inequality for Positive Linear Functionals on Hermitian Unital Banach *-Algebras. https://arxiv.org/abs/1612.05685

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