Refinements of the Converse Hölder and Minkowski Inequalities

Mathematics

Sanja Varošanec¹  Jurica Perić²  Josip Pečarić³ 

[1] Department of Mathematics, University of Zagreb, 10000 Zagreb, Croatia;Departments of Mathematics, Faculty of Science, University of Split, 21000 Split, Croatia;Peoples Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya Str., 117198 Moscow, Russia;

关键词: Beckenbach’s inequality;    converse inequality;    Hölder’s inequality;    mean;    Minkowski’s inequality;    mixed mean;   

DOI  :  10.3390/math10020202

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown