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