Continuous dynamic programming approach to inequalities. II (Q1076181)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Continuous dynamic programming approach to inequalities. II |
scientific article; zbMATH DE number 3953135
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Continuous dynamic programming approach to inequalities. II |
scientific article; zbMATH DE number 3953135 |
Statements
Continuous dynamic programming approach to inequalities. II (English)
0 references
1986
0 references
The paper is a sequel to Part I [J. Math. Anal. Appl. 96, 119-129 (1983; Zbl 0524.26007)] which applies Bellman's partial differential equation in order to establish, inequalities for integrals. Both a generalization of monotonicity of the weighted integral mean and a continuous version of the Beckenbach inequality are established through the continuous dynamic programming approach. The basic idea is to use the separation technique of the optimum value function \(F(t,c)\) into two functions \(\psi\) (t) and \(\phi\) (c).
0 references
Bellman's partial differential equation
0 references
inequalities for integrals
0 references
weighted integral mean
0 references
Beckenbach inequality
0 references
dynamic programming approach
0 references
0 references
