Two Weighted Higher-Order Dynamic Inequalities of Opial Type with Two Functions

被引：3

作者：

Osman, M. M. ^{[1
]}

Saker, S. H. ^{[1
,2
]}

Anderson, D. R. ^{[3
]}

机构：

[1] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt

[2] New Mansoura Univ, Dept Math, New Mansoura City, Egypt

[3] Concordia Coll, Dept Math, Moorhead, MN 56562 USA

来源：

QUALITATIVE THEORY OF DYNAMICAL SYSTEMS | 2022年 / 21卷 / 03期

关键词：

Opial's inequality; Holder's inequality; Dynamic inequality; Time scales; TIME SCALES; DERIVATIVES;

D O I：

10.1007/s12346-022-00592-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove some new dynamic inequalities of Opial type involving higher-order derivatives of two functions, with two different weights on time scales. From these inequalities, we will derive some special cases and give an improvement of some versions of recent results.

引用

页数：23

共 22 条

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Agarwal, R ;

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Peterson, A .

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[2]

Agarwal R.P., 1995, Opial Inequalities with Applications in Differential and Difference Equations, DOI [10.1007/978-94-015-8426-5, DOI 10.1007/978-94-015-8426-5]

[3] REMARKS ON THE GENERALIZATIONS OF OPIALS INEQUALITY [J].