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

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.

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Publication Details

Journal
SARAJEVO JOURNAL OF MATHEMATICS
Published
2025-09-05
DOI
https://doi.org/10.5644/sjm.21.01.07
Primary Topic
Matrix Theory and Algorithms
Type
article
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article

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

Mahmud M. Jibril, Shahab Sahir
SARAJEVO JOURNAL OF MATHEMATICS
Matrix Theory and Algorithms
article

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

Mahmud M. Jibril, Shahab Sahir
article en

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.

SARAJEVO JOURNAL OF MATHEMATICSVol. 21(1)
University of Lahore (PK)
Openalex Percentile: Top 75%
Matrix Theory and Algorithms
DOIOpen Access PDFOpenAlex
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Generalized Analysis of Time Scale Dynamic Lyapunov's Inequalities by Using Specht's and Kantorovich's Ratios — Mahmud M. Jibril, Shahab Sahir · SARAJEVO JOURNAL OF MATHEMATICS (2025) | TGRS Research Map | TGRS