Petrovic-type inequality via fractional calculus Articles uri icon

publication date

  • December 2024

start page

  • 833

end page

  • 843

issue

  • 2

volume

  • 25

International Standard Serial Number (ISSN)

  • 1787-2405

Electronic International Standard Serial Number (EISSN)

  • 1787-2413

abstract

  • Inequalities play an important role in pure and applied mathematics. In particular, Petrovic inequality is an important inequality which have several interesting generalizations. In this work we prove a new Petrovic-type inequality for measurable functions defined on a space with finite measure, and we apply it to generalized Riemann¿Liouville-type integral operators.

subjects

  • Mathematics

keywords

  • petrovic inequality; fractional derivatives and integrals; fractional integral inequalities; convex functions