Continuous dynamic programming approach to inequalities. II
type: Item
instance of: scholarly article
title: Continuous dynamic programming approach to inequalities. II
zbMATH Open document ID: 0593.26011
DOI: 10.1016/0022-247X(86)90263-5
author: Seiichi Iwamoto
author: Chung-Lie Wang
published in: Journal of Mathematical Analysis and Applications
publication date: 1986-01-01T00:00:00Z
review text: 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).
Mathematics Subject Classification ID: 26D15
Mathematics Subject Classification ID: 49L99
zbMATH DE Number: 3953135
zbMATH Keywords: Bellman's partial differential equation
zbMATH Keywords: inequalities for integrals
zbMATH Keywords: weighted integral mean
zbMATH Keywords: Beckenbach inequality
zbMATH Keywords: dynamic programming approach
MaRDI profile type: Publication
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full work available at URL: 0022-247x(86)90263-5
OpenAlex ID: W4246844886
description: scientific article; zbMATH DE number 3953135