Some generalizations of dynamic Opial-type inequalities in conformable calculus

Fatma M. Khamis*, M. M.A. El-Sheikh, Thabet Abdeljawad, Aiman Mukheimer, Gamal A.F. Ismail

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we consider generalized conformable integrals to establish new Opial-type inequalities. The obtained results mainly depend on Hölder’s inequality, some algebraic inequalities, and a simple consequence of Keller’s chain rule on time scales. Our obtained results unify and extend some continuous and discrete inequalities. In the special case α=1, our results cover some well-known inequalities of Opial-type on time scales.

Original languageEnglish
Article number152
JournalJournal of Inequalities and Applications
Volume2024
Issue number1
DOIs
Publication statusPublished - Dec 2024
Externally publishedYes

Keywords

  • Conformable fractional calculus
  • Dynamic inequality
  • Hölder inequality
  • Opial-type inequality

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