NEW HILBERT DYNAMIC INEQUALITIES ON TIME SCALES

被引：14

作者：

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

Ahmed, A. M. ^{[2
]}

Rezk, H. M. ^{[2
]}

O'Regan, D. ^{[3
]}

Agarwal, R. P. ^{[4
]}

机构：

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

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

[3] Natl Univ Ireland, Sch Math Stat & Appl Math, Galway, Ireland

[4] Texas A&M Univ, Dept Math, Kingsville, TX 78363 USA

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2017年 / 20卷 / 04期

关键词：

Hilbert's inequality; Holder's inequality; Jensen's inequality; time scales; HARDY-TYPE INEQUALITIES;

D O I：

10.7153/mia-2017-20-65

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 of Hilbert type on time scales. From these inequalities, as special cases, we will formulate some special integral and discrete inequalities. The main results are proved using some algebraic inequalities, Holder's inequality, Jensen's inequality and a chain rule on time scales.

引用

页码：1017 / 1039

页数：23

共 19 条

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