Generalizations of Shannon type inequalities via diamond integrals on time scales

Abstract 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 Shan...

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Bibliographic Details
Main Authors: Muhammad Bilal, Khuram Ali Khan, Ammara Nosheen, Josip Pečarić
Format: Article
Language:English
Published: SpringerOpen 2023-02-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:https://doi.org/10.1186/s13660-023-02930-4