Generalized Ostrowski-type inequalities involving second derivatives via the Katugampola fractional integrals

In this paper, we provide some Ostrowski-type integral inequalities for functions whose second derivatives belongs to the Lebesgue L q spaces using the Katugampola fractional integrals. We also introduced some new inequalities of Ostrowski-type for functions whose second derivatives in absolute value at some powers are strongly ( s , m ) -convex with modulus μ ≥ 0 (in the second sense). Our results are generalizations of some earlier results in the literature.