On a generalization of the Opial inequality

BOSCH PÉREZ, PAUL JESÚSPAUL JESÚSBOSCH PÉREZAna PortillaJose M. RodriguezJose M. Sigarreta2024-07-082024-07-082024Bosch, P., Portilla, A., Rodriguez, J. M., & Sigarreta, J. M. (2024). On a generalization of the Opial inequality. Demonstratio Mathematica, 57(1), 20230149. https://doi.org/10.1515/dema-2023-0149https://investigadores.udd.cl/handle/123456789/960210.1515/dema-2023-01492-s2.0-85193281409WOS:001221802300001Inequalities 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.On a generalization of the Opial inequalityjournal-article