In the present paper, q -fractional integral operators are used to construct quantum analogue of Ostrowski type inequalities for the class of s -convex functions. The limiting cases include the nonfractional existing cases from literature. Specially, Ostrowski type inequalities for q -integrals and Ostrowski type inequalities for convex functions are deduced.

In this paper, Hölder, Minkowski, and power mean inequalities are used to establish Ostrowski type inequalities for s -convex functions via h -calculus. The new inequalities are generalized versions of Ostrowski type inequalities available in literature.

The new outcomes of the present paper are q -analogues ( q stands for quantum calculus) of Hermite-Hadamard type inequality, Montgomery identity, and Ostrowski type inequalities for s -convex mappings. Some new bounds of Ostrowski type functionals are obtained by using Hölder, Minkowski, and power mean inequalities via quantum calculus. Special cases of new results include existing results from the literature.