Estimation of divergence measures via weighted Jensen inequality on time scales

被引：0
|
作者：
Iqrar Ansari
Khuram Ali Khan
Ammara Nosheen
Ðilda Pečarić
Josip Pečarić
机构：
[1] University of Sargodha,Department of Mathematics
[2] University of Lahore (Sargodha Campus),Department of Mathematics
[3] University North,Department of Media and Communication
[4] RUDN University,undefined
来源：
Journal of Inequalities and Applications | / 2021卷
关键词：
Time scales; Jensen’s inequality; Csiszár divergence; Zipf and Zipf–Mandelbrot law;
D O I：
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中图分类号：
学科分类号：
摘要：
The main purpose of the presented paper is to obtain some time scale inequalities for different divergences and distances by using weighted time scales Jensen’s inequality. These results offer new inequalities in h-discrete calculus and quantum calculus and extend some known results in the literature. The lower bounds of some divergence measures are also presented. Moreover, the obtained discrete results are given in the light of the Zipf–Mandelbrot law and the Zipf law.
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