SOME NEW OPIAL DYNAMIC INEQUALITIES WITH WEIGHTED FUNCTIONS ON TIME SCALES

被引：6
|
作者：
Saker, S. H. [1 ]
Osman, M. M. [1 ]
O'Regan, D. [2 ]
Agarwal, R. P. [3 ]
机构：
[1] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt
[2] Natl Univ Ireland, Sch Math Stat & Appl Math, Galway, Ireland
[3] Texas A&M Univ Kingsville, Dept Math, Kingsville, TX 78363 USA
来源：
MATHEMATICAL INEQUALITIES & APPLICATIONS | 2015年 / 18卷 / 03期
关键词：
Opial's inequality; time scales; Holder's inequality;
D O I：
10.7153/mia-18-91
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we prove some new dynamic inequalities with two weight functions and some new dynamic inequalities with two unknown functions of Opial type on time scales. The main results will be proved by employing Holder's inequality, the chain rule and some basic algebraic inequalities.
引用
收藏
页码：1171 / 1187
页数：17
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