Lecture Notes in Mechanical Engineering.
Springer Science and Business Media Deutschland GmbH.
2022.
P. 740-750
Refinements of the Converse Hölder and Minkowski Inequalities
We give a refinement of the converse Hölder inequality for functionals using an interpola-tion 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. © 2022 by the authors. Licensee MDPI, Basel, Switzerland.
Authors
Pečarić J.
1
,
Perić J.2
,
Varošanec S.3
Journal
Publisher
MDPI AG
Number of issue
2
Language
English
Status
Published
Link
Number
202
Volume
10
Year
2022
Organizations
- 1 Peoples Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya Str, Moscow, 117198, Russian Federation
- 2 Departments of Mathematics, Faculty of Science, University of Split, Split, 21000, Croatia
- 3 Department of Mathematics, University of Zagreb, Zagreb, 10000, Croatia
Keywords
Beckenbach’s inequality; Converse inequality; Hölder’s inequality; Mean; Minkowski’s inequality; Mixed mean
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