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Hermite-Hadamard-Type Inequalities for Conformable Integrals

  • Martin Bohner
  • , Artion Kashuri
  • , Pshtiwan Othman Mohammed
  • , Juan E.Nápoles Valdés

Research output: Contribution to journal › Article › peer-review

Abstract

In this study, some inequalities of Hermite–Hadamard type for integrals arising in conformable fractional calculus are presented. In fact, the obtained inequalities are not only valid for those integrals arising in conformable fractional calculus, but for more general integrals as well. Numerous known versions are recovered as special cases. We also illustrate our findings via applications to modified Bessel functions, special means, and midpoint approximations.

Original languageAmerican English
Pages (from-to)775-786
Number of pages12
JournalHacettepe Journal of Mathematics and Statistics
Volume51
Issue number3
DOIs
StatePublished - Jan 1 2022

Keywords

  • Conformable Integral
  • Convex Function
  • Hermite-Hadamard Inequality

Disciplines

  • Applied Mathematics

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