Ali, Muhammad AamirBudak, HuseyinFeckan, MichalKhan, Sundas2024-08-232024-08-2320230139-99181337-2211https://doi.org/10.1515/ms-2023-0029https://hdl.handle.net/20.500.12684/14012In this paper, we establish a new variant of q-Hermite-Hadamard inequality for convex functions via left and right q-integrals. Moreover, we prove some new q-midpoint and q-trapezoid type inequalities for left and right q-differentiable functions. To illustrate the newly established inequalities, we give some particular examples of convex functions.en10.1515/ms-2023-0029info:eu-repo/semantics/openAccessHermite-Hadamard inequalitymidpoint inequalitiestrapezoid inequalitiesconvex functionsDifferentiable MappingsReal NumbersQuantumArticle7323693862-s2.0-85151819427WOS:000960209800001Q2Q2