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Refinement of Discrete Lah–Ribarič Inequality and Applications on Csiszár Divergence (CROSBI ID 324598)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Pečarić, Đilda ; Pečarić, Josip ; Perić, Jurica Refinement of Discrete Lah–Ribarič Inequality and Applications on Csiszár Divergence // Mathematics, 10 (2022), 5; 755, 18. doi: 10.3390/math10050755

Podaci o odgovornosti

Pečarić, Đilda ; Pečarić, Josip ; Perić, Jurica

engleski

Refinement of Discrete Lah–Ribarič Inequality and Applications on Csiszár Divergence

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.

Lah–Ribarič inequality ; Jensen inequality ; Hölder’s inequalit ; power mean ; quasi-arithmetic mean ; Csiszár divergence ; Zipf–Mandelbrot law

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Podaci o izdanju

10 (5)

2022.

755

18

objavljeno

2227-7390

10.3390/math10050755

Povezanost rada

Matematika

Poveznice
Indeksiranost