Demonstratio Mathematica (May 2024)

On a generalization of the Opial inequality

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

DOI
https://doi.org/10.1515/dema-2023-0149
Journal volume & issue
Vol. 57, no. 1
pp. 364 – 374

Abstract

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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.

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