Applications of the (k,s,h)-Riemann-Liouville and (k,h)-Hadamard Fractional Operators on Inequalities


Bezziou M., Dahmani Z., KİRİŞ M. E.

Konuralp Journal of Mathematics, vol.8, no.1, pp.197-206, 2020 (Scopus)

  • Publication Type: Article / Article
  • Volume: 8 Issue: 1
  • Publication Date: 2020
  • Journal Name: Konuralp Journal of Mathematics
  • Journal Indexes: Scopus
  • Page Numbers: pp.197-206
  • Keywords: (k, h)−Hadamard fractional operator, (k, s, h)−Riemann-Liouville fractional integral, Gruss inequality, Korkine identity
  • Hatay Mustafa Kemal University Affiliated: Yes

Abstract

This paper deals with some results of fractional inequalities involving two recent recent integral operators: the (k,s,h)−Riemann-Liouville integral and the (k,h)−Hadamard fractional operator. We generalize some classical integral inequalities as well as some other fractional inequalities. By simple arguments, we establish a relation between the two considered operators that allows us to establish several integral results.