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Some new hermite–hadamard and related inequalities for convex functions via (P, q)-integral

Abstract:

In this investigation, for convex functions, some new (p, q)–Hermite–Hadamard-type inequalities using the notions of (p, q)π2 derivative and (p, q)π2 integral are obtained. Furthermore, for (p, q)π2-differentiable convex functions, some new (p, q) estimates for midpoint and trapezoidal-type inequalities using the notions of (p, q)π2 integral are offered. It is also shown that the newly proved results for p = 1 and q → 1− can be converted into some existing results. Finally, we discuss how the special means can be used to address newly discovered inequalities.