Specht's ratio and logarithmic mean in time scale dynamic inequalities and their retrospective variants

Authors

DOI:

https://doi.org/10.12697/ACUTM.2023.27.01

Keywords:

Dynamic inequalities, Specht's ratio, logarithmic mean, time scales

Abstract

In this research article, we investigate reverse Radon's inequality, reverse Bergström's inequality, the reverse weighted power mean inequality, reverse Schlömilch's inequality, reverse Bernoulli's inequality and reverse Lyapunov's inequality with Specht's ratio on time scales. We also present reverse Rogers--Holder's inequality with logarithmic mean and Specht's ratio on time scales. The time scale dynamic inequalities unify and extend some continuous inequalities and their corresponding discrete and quantum versions.

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Author Biographies

Deeba Afzal, The University of Lahore

Department of Mathematics and Statistics

Muhammad Jibril Sahir, The University of Lahore

Department of Mathematics and Statistics

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Published

2023-05-26

Issue

Section

Articles