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1. Some opial, Lyapunov, and De IaValée poussin inequalities with nonhomogeneous boundary conditions

Author

Fink AM, Hinton Don B, and Brown Richard C

Subjects
De la Valée Poussin inequality, Nonhomogeneous boundary conditions, lcsh:Mathematics, Extremals, Lyapunov inequality, lcsh:QA1-939, Opial inequality, Best constants
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.

Published
2000

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