Continuous dynamic programming approach to inequalities. II
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).
scientific article; zbMATH DE number 3953135
scientific article