Midpoint inequalities in fractional calculus defined using positive weighted symmetry function kernels

Pshtiwan Othman Mohammed*, Hassen Aydi, Artion Kashuri, Y. S. Hamed, Khadijah M. Abualnaja

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)

Abstract

The aim of our study is to establish, for convex functions on an interval, a midpoint version of the fractional HHF type inequality. The corresponding fractional integral has a symmetric weight function composed with an increasing function as integral kernel. We also consider a midpoint identity and establish some related inequalities based on this identity. Some special cases can be considered from our main results. These results confirm the generality of our attempt.

Original languageEnglish
Article number550
JournalSymmetry
Volume13
Issue number4
DOIs
Publication statusPublished - Apr 2021
Externally publishedYes

Keywords

  • Convex functions
  • HHF type inequality
  • Symmetry
  • Weighted fractional operators

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