Some Opial, Lyapunov, and De laValee Poussin inequalities with nonhomogeneous boundary conditions

被引：9

作者：

Brown, RC ^{[1
]}

Fink, AM

Hinton, DB

机构：

[1] Univ Alabama, Dept Math, Tuscaloosa, AL 35487 USA

[2] Iowa State Univ, Dept Math, Ames, IA 50011 USA

[3] Univ Tennessee, Dept Math, Knoxville, TN 37996 USA

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2000年 / 5卷 / 01期

关键词：

Opial inequality; Lyapunov inequality; De la Valee Poussin inequality; nonhomogeneous boundary conditions; best constants; extremals;

D O I：

10.1155/S1025583400000023

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We derive Opial-type inequalities for a class of real functions satisfying nonhomogenous boundary conditions and determine the best constant and extremals. The results are then used to obtain generalized Lyapunov and De la Valee Poussin inequalities.

引用

页码：11 / 37

页数：27

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