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Keywords = Hölder’s inequalit

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18 pages, 319 KiB  
Article
Refinement of Discrete Lah–Ribarič Inequality and Applications on Csiszár Divergence
by Đilda Pečarić, Josip Pečarić and Jurica Perić
Mathematics 2022, 10(5), 755; https://doi.org/10.3390/math10050755 - 26 Feb 2022
Cited by 1 | Viewed by 1486
Abstract
In this paper we give a new refinement of the Lah–Ribarič inequality and, using the same technique, we give a refinement of the Jensen inequality. Using these results, a refinement of the discrete Hölder inequality and a refinement of some inequalities for discrete [...] Read more.
In this paper we give a new refinement of the Lah–Ribarič inequality and, using the same technique, we give a refinement of the Jensen inequality. Using these results, a refinement of the discrete Hölder inequality and a refinement of some inequalities for discrete weighted power means and discrete weighted quasi-arithmetic means are obtained. We also give applications in the information theory; namely, we give some interesting estimations for the discrete Csiszár divergence and for its important special cases. Full article
(This article belongs to the Special Issue Mathematical Inequalities with Applications)
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