Xu, HongyanAwan, Muhammad uzairMeftah, BadreddineJarad, FahdLakhdari, Abdelghani2025-06-052025-06-0520250218-348X1793-6543https://doi.org/10.1142/S0218348X25500458https://hdl.handle.net/20.500.12416/10126By using a parametrized analysis, this paper presents a study that focuses on examining both the Simpson's 3/8 formula and the corrected Simpson's 3/8 formula. By utilizing a unique identity that incorporates conformable fractional integral operators, we have constructed novel conformable Newton-type inequalities for functions that possess second-order s-convex derivatives. Special cases are extensively discussed, and the accuracy of the results is validated through a numerical example with graphical representations.eninfo:eu-repo/semantics/closedAccessConformable Fractional Integral OperatorsSimpson 3/8 InequalitiesH & OumlLder InequalityPower Mean InequalityConvex FunctionsArticle10.1142/S0218348X255004582-s2.0-105005806346