Akbar, Saira BanoAbbas, MujahidBudak, Hueseyin2024-08-232024-08-2320241664-23681664-235Xhttps://doi.org/10.1007/s13324-024-00960-9https://hdl.handle.net/20.500.12684/14451The aim of this paper is first to introduce generalizations of quantum integrals and derivatives which are called (phi-h) integrals and (phi-h) derivatives, respectively. Then we investigate some implicit integral inequalities for (phi-h) integrals. Different classes of convex functions are used to prove these inequalities for symmetric functions. Under certain assumptions, Hermite-Hadamard-type inequalities for q-integrals are deduced. The results presented herein are applicable to convex, m-convex, and & hstrok;-convex functions defined on the non-negative part of the real line.en10.1007/s13324-024-00960-9info:eu-repo/semantics/closedAccess(phi-h)-derivativeJensen inequalitym-convex functionHermite Hadamard InequalityHermite Hadamard Inequality(phi-h)-integralJensen inequality& hstrok;-convexfunctionArticle1452-s2.0-85200469774WOS:001285292800001Q2N/A