Almoneef, Areej A.Hyder, Abd-AllahHezenci, FatihBudak, Huseyin2024-08-232024-08-2320232473-6988https://doi.org/10.3934/math.20231505https://hdl.handle.net/20.500.12684/13783The latest iterations of Simpson-type inequalities (STIs) are the topic of this paper. These inequalities were generated via convex functions and tempered fractional integral operators (TFIOs). To get these sorts of inequalities, we employ the well-known Ho center dot lder inequality and the inequality of exponent mean. The subsequent STIS are a generalization of several works on this topic that use the fractional integrals of Riemann-Liouville (FIsRL). Moreover, distinctive outcomes can be achieved through unique selections of the parameters.en10.3934/math.20231505info:eu-repo/semantics/openAccessSimpson-type inequalitiesconvex functionsfractional integralsRiemann-Liouville fractional integralstempered fractional integralsArticle81229411294232-s2.0-85175311156WOS:001133603500054Q2Q1