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) π 2 derivative and (p, q) π 2 integral are obtained. Furthermore, for (p, q) π 2-differentiable convex functions, some new (p, q) estimates for midpoint and trapezoidal-type inequalities using the notions of (p, q) π 2 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.