Generalized Analysis of Time Scale Dynamic Lyapunov's Inequalities by Using Specht's and Kantorovich's Ratios

Muhammad Jibril Shahab Sahir

doi:10.5644/SJM.21.01.07

Authors

Muhammad Jibril Shahab Sahir Department of Mathematics and Statistics, The University of Lahore, Lahore, Pakistan

DOI:

https://doi.org/10.5644/SJM.21.01.07

Keywords:

Time scales, Lyapunov's inequality, Rogers--Holder's inequality

Abstract

In this paper, we present extensions of dynamic Lyapunov's inequalities and their reverse versions on time scales by using Specht's and Kantorovich's ratios. Our approach unifies and extends some continuous inequalities and their corresponding discrete and quantum analogues.

Statistics

Abstract: 203 / PDF: 35

References

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