Inequalities for Jensen-Sharma-Mittal and Jeffreys-Sharma-Mittal Type f-Divergences
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Updated: Oct 9, 2025

Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level
Published on: September 26, 2016
1Department of Applied Mathematics and Computer Science, University of Life Sciences in Lublin, 28 Głęboka Street, 20-612 Lublin, Poland.
Abstract:
In this paper, we introduce new divergences called Jensen-Sharma-Mittal and Jeffreys-Sharma-Mittal in relation to convex functions. Some theorems, which give the lower and upper bounds for two new introduced divergences, are provided. The obtained results imply some new inequalities corresponding to known divergences. Some examples, which show that these are the generalizations of Rényi, Tsallis, and Kullback-Leibler types of divergences, are provided in order to show a few applications of new divergences.
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