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

Authors
Brown, RC Fink, AM Hinton, DB
Citation
Rc. Brown et al., Some Opial, Lyapunov, and De laValee Poussin inequalities with nonhomogeneous boundary conditions, J INEQUAL A, 5(1), 2000, pp. 11-37
Citations number
13
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF INEQUALITIES AND APPLICATIONS
ISSN journal
10255834 → ACNP
Volume
5
Issue
1
Year of publication
2000
Pages
11 - 37
Database
ISI
SICI code
1025-5834(2000)5:1<11:SOLADL>2.0.ZU;2-F
Abstract
We derive Opial-type inequalities for a class of real functions satisfying nonhomogenous boundary conditions and determine the best constant and extre mals. The results are then used to obtain generalized Lyapunov and De la Va lee Poussin inequalities.