Muhammad Bilal, Khuram Ali Khan, Ammara Nosheen, Josip Pečarić
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Bounds of some divergence measures on time scales via Abel–Gontscharoff interpolation
In this paper, bounds of some divergence measures on time scales via Abel–Gontscharoff interpolation are construed. Inequalities involving Shannon entropy, Kullback–Leibler discrimination, triangle distance and Jeffrey distance, are studied as particular instances by using various types of convex functions. Several new bounds of certain divergence measures for some specified time scales are also discussed.
期刊介绍:
Mathematica Slovaca, the oldest and best mathematical journal in Slovakia, was founded in 1951 at the Mathematical Institute of the Slovak Academy of Science, Bratislava. It covers practically all mathematical areas. As a respectful international mathematical journal, it publishes only highly nontrivial original articles with complete proofs by assuring a high quality reviewing process. Its reputation was approved by many outstanding mathematicians who already contributed to Math. Slovaca. It makes bridges among mathematics, physics, soft computing, cryptography, biology, economy, measuring, etc. The Journal publishes original articles with complete proofs. Besides short notes the journal publishes also surveys as well as some issues are focusing on a theme of current interest.