Kunt, Mehmetİşcan, İmdatAlp, NecmettinSarıkaya, Mehmet Zeki2020-04-302020-04-3020181578-73031579-1505https://doi.org/10.1007/s13398-017-0402-yhttps://hdl.handle.net/20.500.12684/2266Kunt, Mehmet/0000-0002-8730-5370; iscan, imdat/0000-0001-6749-0591WOS: 000445335600005In this paper, we prove the correct (p, q)-Hermite-Hadamard inequality, some new (p, q)-Hermite-Hadamard inequalities, and generalized (p, q)-Hermite-Hadamard inequality. By using the left hand part of the correct (p, q)-Hermite-Hadamard inequality, we have a new equality. Finally using the new equality, we give some (p, q)-midpoint type integral inequalities through (p, q)-differentiable convex and (p, q)-differentiable quasi-convex functions. Many results given in this paper provide extensions of others given in previous works.en10.1007/s13398-017-0402-yinfo:eu-repo/semantics/closedAccessHermite-Hadamard inequalityMidpoint type inequalityq-integral inequalities(p, q)-integral inequalities(p, q)-derivative(p, q)-integrationConvexityQuasi-convexityArticle1124969992WOS:000445335600005Q1Q2