Generalizations of Shannon type inequalities via diamond integrals on time scales

被引：0
作者：
Muhammad Bilal
Khuram Ali Khan
Ammara Nosheen
Josip Pečarić
机构：
[1] University of Sargodha,Department of Mathematics
[2] Government Associate College Miani,undefined
[3] Croatian Academy of Science and Arts HR,undefined
来源：
Journal of Inequalities and Applications | / 2023卷
关键词：
Shannon entropy; Diamond integral; Information theory;
D O I：
暂无
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学科分类号：
摘要：
The paper generalizes Shannon-type inequalities for diamond integrals. It includes two-dimensional Hölder’s inequality and Cauchy–Schwartz’s inequality, which help to prove weighted Grüss’s inequality for diamond integrals. Jensen’s inequality and Grüss’s inequality are used to provide Shannon-type inequalities for diamond integrals. Shannon-type inequalities for multiple integrals are also part of the discussion. Moreover, many distributions are deduced from the main results, and new bounds are obtained.
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