Inequalities of Jensen's type for generalized k-g-fractional integrals

Abstract

In this paper we establish some inequalities of Jensen and Hermite-Hadamard type for the $k$-$g$-fractional integrals of convex functions defined an interval $\left[ a,b\right] $. Some examples for the\textit{\ generalized} \textit{left-} and \textit{right-sided Riemann-Liouville fractional integrals} of a function $f$ with respect to another function $g$ on $\left[ a,b\right] $ and for classical Riemann-Liouville fractional integrals are also given.