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Authors = Sanja Varošanec

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11 pages, 262 KiB  
Article
Refinements of the Converse Hölder and Minkowski Inequalities
by Josip Pečarić, Jurica Perić and Sanja Varošanec
Mathematics 2022, 10(2), 202; https://doi.org/10.3390/math10020202 - 10 Jan 2022
Viewed by 2755
Abstract
We give a refinement of the converse Hölder inequality for functionals using an interpolation result for Jensen’s inequality. Additionally, we obtain similar improvements of the converse of the Beckenbach inequality. We consider the converse Minkowski inequality for functionals and of its continuous form [...] Read more.
We give a refinement of the converse Hölder inequality for functionals using an interpolation result for Jensen’s inequality. Additionally, we obtain similar improvements of the converse of the Beckenbach inequality. We consider the converse Minkowski inequality for functionals and of its continuous form and give refinements of it. Application on integral mixed means is given. Full article
(This article belongs to the Special Issue Advances in Mathematical Inequalities and Applications)
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