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On Tsallis and Kaniadakis Divergences

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Abstract

We study some properties concerning Tsallis and Kaniadakis divergences between two probability measures. More exactly, we prove the pseudo-additivity, non-negativity, monotonicity and find some bounds for the divergences mentioned above.

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Acknowledgements

The authors are very much indebted to the editors and to the referees for their kind and most valuable suggestions, which improved the quality of the present paper.

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Authors and Affiliations

  1. Faculty of Mathematics and Computer Science, University of Bucharest, Str. Academiei 14, 010014, Bucharest, Romania

    Răzvan-Cornel Sfetcu, Sorina-Cezarina Sfetcu & Vasile Preda

  2. “Gheorghe Mihoc-Caius Iacob” Institute of Mathematical Statistics and Applied Mathematics, Calea 13 Septembrie 13, 050711, Bucharest, Romania

    Vasile Preda

  3. “Costin C. Kiriţescu” National Institute of Economic Research, Calea 13 Septembrie 13, 050711, Bucharest, Romania

    Vasile Preda

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  1. Răzvan-Cornel Sfetcu
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  2. Sorina-Cezarina Sfetcu
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  3. Vasile Preda
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Sfetcu, RC., Sfetcu, SC. & Preda, V. On Tsallis and Kaniadakis Divergences. Math Phys Anal Geom 25, 7 (2022). https://doi.org/10.1007/s11040-022-09420-x

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