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

Author

Listed:
  • Đilda Pečarić

    (Department of Media and Communication, University North, 48000 Koprivnica, Croatia)

  • Josip Pečarić

    (Croatian Academy of Sciences and Arts, 10000 Zagreb, Croatia)

  • Jurica Perić

    (Department of Mathematics, Faculty of Science, University of Split, 21000 Split, Croatia)

Abstract

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.

Suggested Citation

  • Đilda Pečarić & Josip Pečarić & Jurica Perić, 2022. "Refinement of Discrete Lah–Ribarič Inequality and Applications on Csiszár Divergence," Mathematics, MDPI, vol. 10(5), pages 1-18, February.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:5:p:755-:d:759730
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