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Abstract
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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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