Refinements of the integral form of Jensen’s and the Lah–Ribarič inequalities and applications for Csiszár divergence

Refinements of the integral form of Jensen’s and the Lah–Ribarič inequalities and applications for Csiszár divergence

Abstract In this paper, we give refinements of the integral form of Jensen’s inequality and the Lah–Ribarič inequality. Using these results, we obtain a refinement of the Hölder inequality and a refinement of some inequalities for integral power means and quasiarithmetic means. We also give applicat...

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Bibliographic Details
Main Authors: J. Pečarić, J. Perić
Format: Article
Language:English
Published: SpringerOpen 2020-04-01
Series:Journal of Inequalities and Applications
Subjects:
Jensen’s inequality
Lah–Ribarič inequality
Hermite–Hadamard inequality
Hölder inequality
Csiszár divergence
Integral form
Online Access:http://link.springer.com/article/10.1186/s13660-020-02369-x

Internet

http://link.springer.com/article/10.1186/s13660-020-02369-x

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