Journal of Inequalities and Applications (Jan 2000)
Some opial, Lyapunov, and De IaValée poussin inequalities with nonhomogeneous boundary conditions
Abstract
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 Valée Poussin inequalities.