文章基本信息

标题：Weighted dynamic inequalities of Opial-type on time scales
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作者：A. A. El-Deeb ; Fatma M. Kh ; Gamal A. F. Ismail 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2019
卷号：2019
期号：1
页码：1-23
DOI：10.1186/s13662-019-2325-8
出版社：Hindawi Publishing Corporation
摘要：In this paper, we will state and prove some weighted dynamic inequalities of Opial-type involving integrals of powers of a function and of its derivative on time scales which not only extend some results in the literature but also improve some of them. The main results will be proved by using some algebraic inequalities, the Hölder inequality and a simple consequence of Keller’s chain rule on time scales. As special cases of the obtained dynamic inequalities, we will get some continuous and discrete inequalities.
关键词：26D10;26D15;26E70;34A40;Opial-type inequality;Dynamic inequality;Time scale