EXTENSIONS OF OPIALS INEQUALITY

被引：33

作者：

BEESACK, PR

DAS, KM

机构：

[1] Carleton University, Ottawa

来源：

PACIFIC JOURNAL OF MATHEMATICS | 1968年 / 26卷 / 02期

关键词：

D O I：

10.2140/pjm.1968.26.215

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper certain inequalities involving integrals of powers of a function and of its derivative are proved. The prototype of such inequalities is Opia's Inequality which states when ever y is absolutely continuous on [0, X] with y(0) = 0. The extensions where r, s are nonnegative, measurable functions on or both. In some cases y may be complex-valued, while in other cases In all cases, necessary and sufficient conditions are obtained for equality to hold. © 1968 by Pacific Journal of Mathematics.

引用

页码：215 / &

共 11 条

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