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

Journal of inequalities and applications

article

J. Pečarić¹  J. Perić² 

[1] RUDN University;Department of Mathematics, Faculty of Science, University of Split

关键词: Jensen’s inequality;    Lah–Ribarič inequality;    Hermite–Hadamard inequality;    Hölder inequality;    Csiszár divergence;    Integral form;   

DOI  :  10.1186/s13660-020-02369-x

学科分类：电力

来源: SpringerOpen

【 摘 要 】

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 applications in information theory, namely, we give some interesting estimates for the integral Csiszár divergence and its important particular cases.

【 授权许可】

CC BY