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In this paper, we extend some estimates of the right hand side of a Hermite-Hadamard-Fejér type inequality for generalized convex functions whose derivatives absolute values are generalized convex via local fractional integrals.

In this paper, we establish some q-Opial type inequalities and generalization of q-Opial type inequalities.

The present paper aims to find some new midpoint-type inequalities for twice quantum differentiable convex functions. The consequences derived in this paper are unification and generalization of the comparable consequences in the literature on midpoint inequalities.