Abstract
In this paper, we establish certain generalized fractional integral inequalities of mean and trapezoid type for
(
s
+
1
)
-convex functions involving the
(
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.