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