Several New Integral Inequalities via Caputo k-Fractional Derivative Operators
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, vol.14, no.09, 2021 (ESCI, Scopus)
- Publication Type: Article / Article
- Volume: 14 Issue: 09
- Publication Date: 2021
- Doi Number: 10.1142/s1793557121501503
- Journal Name: ASIAN-EUROPEAN JOURNAL OF MATHEMATICS
- Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
- Keywords: Convex function, eta-quasi-convex, s-convex, s-Godunova-Levin type, Caputo k-fractional integral, Hermite-Hadamard inequality, Holder inequality, weighted Holder inequality, power mean inequality
- Bursa Uludag University Affiliated: Yes
Abstract
In this paper, we establish several new integral inequalities involving Caputo k-fractional derivatives for eta-quasi-convex and s-Godunova-Levin convex. In order to obtain our results, we use some classical inequalities such as Holder's inequality and its power mean and weighted versions.