YOUNG'S INTEGRAL INEQUALITY WITH UPPER AND LOWER BOUNDS

被引：0

作者：

Anderson, Douglas R. ^{[1
]}

Noren, Steven ^{[1
]}

Perreault, Brent ^{[1
]}

机构：

[1] Concordia Coll, Dept Math & Comp Sci, Moorhead, MN 56562 USA

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2011年

关键词：

Young's inequality; monotone functions; Pochhammer lower factorial; difference equations; time scales;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Young's integral inequality is reformulated with upper and lower bounds for the remainder. The new inequalities improve Young's integral inequality on all time scales, such that the case where equality holds becomes particularly transparent in this new presentation. The corresponding results for difference equations are given, and several examples are included. We extend these results to piecewise-monotone functions as well.

引用

页数：10

共 14 条

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