Certain mean-type fractional integral inequalities via different convexities with applications

Abstract

AbstractIn this paper, we establish certain generalized fractional integral inequalities of mean and trapezoid type for $(s+1)$ ( s + 1 ) -convex functions involving the $(k,s)$ ( k , s ) -Riemann–Liouville integrals. Moreover, we develop such integral inequalities for h-convex functions involving the k-conformable fractional integrals. The legitimacy of the derived results is demonstrated by plotting graphs. As applications of the derived inequalities, we obtain the classical Hermite–Hadamard and trapezoid inequalities.