Opial-type inequalities for diamond-alpha derivatives and integrals on time scales

被引：12
|
作者：
Bohner M. [1 ,2 ]
Duman O. [1 ,2 ]
机构：
[1] Department of Mathematics and Statistics, Missouri University of Science and Technology, Rolla
[2] Department of Mathematics, Faculty of Arts and Sciences, TOBB Economics and Technology University
来源：
Differential Equations and Dynamical Systems | 2010年 / 18卷 / 1-2期
关键词：
Delta derivative; Diamond-alpha derivative; Dynamic equation; Nabla derivative; Opial's inequality; Time scale;
D O I：
10.1007/s12591-010-0006-x
中图分类号：
学科分类号：
摘要：
In this article, we obtain various Opial-type inequalities on time scales via the notion of the diamond-alpha derivative which is a general concept covering both delta and nabla derivatives on time scales. © 2010 Foundation for Scientific Research and Technological Innovation.
引用
收藏
页码：229 / 237
页数：8
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