In this paper we establish some new Simpson type quantum integral inequalities for convex functions. Moreover, we obtain some inequalities for special means.

The aim of this paper is to construct (p,q)-calculus on finite intervals. The (pk,qk)-derivative and (pk,qk)-integral are defined and some basic properties are given. Also, (pk,qk)-analogue of H?lder, Minkowski integral inequalities are proved.

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Abstract:In this paper, we obtain (p, q) −analogues of Opial integral inequality, involving (p, q) −derivatives of functions. We derive also some of the generalized versions of this integral inequality.