Bounds of some divergence measures on time scales via Abel–Gontscharoff interpolation

IF 0.9 3区数学 Q2 MATHEMATICS

Mathematica Slovaca Pub Date : 2024-05-28 DOI:10.1515/ms-2024-0032

Muhammad Bilal, Khuram Ali Khan, Ammara Nosheen, Josip Pečarić

引用次数: 0

Abstract

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.

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通过阿贝尔-冈察洛夫插值法确定时间尺度上某些发散度量的界限

本文通过阿贝尔-冈察洛夫插值法解释了一些时间尺度上的发散度量的边界。通过使用各种类型的凸函数，对涉及香农熵、库尔贝-莱布勒判别、三角距离和杰弗里距离的不等式进行了研究。此外，还讨论了某些特定时间尺度的某些发散度量的若干新界限。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Mathematica Slovaca 数学-数学

CiteScore

2.10

自引率

6.20%

发文量

审稿时长

6-12 weeks

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.