Unified Generalizations of Hardy-Type Inequalities Through the Nabla Framework on Time Scales

被引：0

作者：

Rezk, Haytham M. ^{[1
]}

Balogun, Oluwafemi Samson ^{[2
]}

Bakr, Mahmoud E. ^{[3
]}

机构：

[1] Al Azhar Univ, Fac Sci, Dept Math, Nasr City 11884, Egypt

[2] Univ Eastern Finland, Dept Comp, Kuopio 70211, Finland

[3] King Saud Univ, Coll Sci, Dept Stat & Operat Res, POB 2455, Riyadh 11451, Saudi Arabia

来源：

AXIOMS | 2024年 / 13卷 / 10期

关键词：

Hardy's inequality; nabla H & ouml; lder's inequality; nabla Jensen's inequality; convexity; continuous and discrete calculus; time scales;

D O I：

10.3390/axioms13100723

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This research investigates innovative extensions of Hardy-type inequalities through the use of nabla H & ouml;lder's and nabla Jensen's inequalities, combined with the nabla chain rule and the characteristics of convex and submultiplicative functions. We extend these inequalities within a cohesive framework that integrates elements of both continuous and discrete calculus. Furthermore, our study revisits specific integral inequalities from the existing literature, showcasing the wide-ranging relevance of our results.

引用

页数：16

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