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On a generalization of the Opial inequality

Bosch Paul, Portilla Ana, Rodriguez Jose M., Sigarreta Jose M.

Demonstratio Mathematica

2024

Vol. 57, nr 1

art. no. 20230149

Inequalities are essential in pure and applied mathematics. In particular, Opial’s inequality and its generalizations have been playing an important role in the study of the existence and uniqueness of initial and boundary value problems. In this work, some new Opial-type inequalities are given and applied to generalized Riemann-Liouville-type integral operators.