Abstract
In this paper, we conduct a research on a new version of the ( p,q ) -Hermite–Hadamard inequality for convex functions in the framework of postquantum calculus. Moreover, we derive several estimates for (p,q)-midpoint and (p,q)-trapezoidal inequalities for special ( p,q ) -differentiable functions by using the notions of left and right (p,q ) -derivatives. Our newly obtained inequalities are extensions of some existing inequalities in other studies. Lastly, we consider some mathematical examples for some (p,q)-functions to confirm the correctness of newly established results.
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