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In this paper, we provide some Ostrowski-type integral inequalities for functions whose second derivatives belongs to the Lebesgue Lq 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.

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