Refinements of the integral form of Jensen’s and the Lah–Ribarič inequalities and applications for Csiszár divergence (CROSBI ID 286524)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Pečarić, Josip ; Perić, Jurica
engleski
Refinements of the integral form of Jensen’s and the Lah–Ribarič inequalities and applications for Csiszár divergence
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.
Jensen’s inequality ; Lah–Ribarič inequality ; Hermite–Hadamard inequality ; Hölder inequality ; Csiszár divergence ; Integral form
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Podaci o izdanju
2020 (1)
2020.
108
16
objavljeno
1025-5834
1029-242X
10.1186/s13660-020-02369-x
Trošak objave rada u otvorenom pristupu
Povezanost rada
Matematika