On a generalization of the Opial inequality
Journal
Demonstratio Mathematica
ISSN
2391-4661
Date Issued
2024
Author(s)
Type
journal-article
Abstract
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.
Cite this document
Bosch, 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-2023-0149
Subjects
fractional derivatives and integrals
;
fractional integral inequalities
;
opial-type inequalities