A NOTE ON SIMPSON 3/8 RULE FOR FUNCTION WHOSE MODULUS OF FIRST DERIVATIVES ARE s-CONVEX FUNCTION WITH APPLICATION

Munir, ArslanBudak, HuseyinKara, HasanRathour, LaxmiFaiz, Irza2025-10-112025-10-1120241976-86052288-1433https://doi.org/10.11568/kjm.2024.32.3.365https://hdl.handle.net/20.500.12684/21785Researchers continue to explore and introduce new operators, methods, and applications related to fractional integrals and inequalities. In recent years, fractional integrals and inequalities have gained a lot of attention. In this paper, firstly we established the new identity for the case of differentiable function through the fractional operator (Caputo-Fabrizio). By utilizing this novel identity, the obtained results are improved for Simpson second formula-type inequality. Based on this identity the Simpson second formula-type inequality is proved for the s-convex functions. Furthermore, we also include the applications to special means.en10.11568/kjm.2024.32.3.365info:eu-repo/semantics/closedAccessSimpson 3/8 type inequalitiess-convex functionFractional integralsHolder's inequalityPower-mean inequalityA NOTE ON SIMPSON 3/8 RULE FOR FUNCTION WHOSE MODULUS OF FIRST DERIVATIVES ARE s-CONVEX FUNCTION WITH APPLICATIONArticle3233653792-s2.0-85206590017WOS:001329066100001Q4N/A