Refinements of the Converse Hölder and Minkowski Inequalities
Copyright policy )Refinements of the Converse Hölder and Minkowski Inequalities
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.
- University of Zagreb Croatia
- Peoples' Friendship University of Russia Russian Federation
- University of Split Croatia
Beckenbach's inequality ; converse inequality ; H\, Beckenbach’s inequality; converse inequality; Hölder’s inequality; mean; Minkowski’s inequality; mixed mean, Hölder’s inequality, converse inequality, mean, 540, 510, Mixed mean, Beckenbach’s inequality, QA1-939, Mean, H\, Minkowski’s inequality, mixed mean, Converse inequality, Beckenbach's inequality, Mathematics
Beckenbach's inequality ; converse inequality ; H\, Beckenbach’s inequality; converse inequality; Hölder’s inequality; mean; Minkowski’s inequality; mixed mean, Hölder’s inequality, converse inequality, mean, 540, 510, Mixed mean, Beckenbach’s inequality, QA1-939, Mean, H\, Minkowski’s inequality, mixed mean, Converse inequality, Beckenbach's inequality, Mathematics
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