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

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

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

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摘要

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。

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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.

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