Siricharuanun, PimchanaErden, SametAli, Muhammad AamirBudak, HuseyinChasreechai, SaowaluckSitthiwirattham, Thanin2021-12-012021-12-0120212227-7390https://doi.org/10.3390/math9161992https://hdl.handle.net/20.500.12684/10955In this paper, using the notions of q(kappa 2)-quantum integral and q(kappa 2)-quantum derivative, we present some new identities that enable us to obtain new quantum Simpson's and quantum Newton's type inequalities for quantum differentiable convex functions. This paper, in particular, generalizes and expands previous findings in the field of quantum and classical integral inequalities obtained by various authors.en10.3390/math9161992info:eu-repo/semantics/openAccessSimpson's inequalitiesNewton's inequalitiesquantum calculusconvex functionsMidpoint-Type InequalitiesHermite-Hadamard InequalitiesArticle9162-s2.0-85113585628WOS:000689358500001Q2Q1