Munir, ArslanBudak, HuseyinKashuri, ArtionFaiz, IrzaKara, HasanQayyum, Ather2025-10-112025-10-1120252322-58072423-3900https://doi.org/10.22130/scma.2024.2023382.1633https://hdl.handle.net/20.500.12684/21652The trapezoidal-type inequalities are discovered in this study using the fractional operator, which produces powerful results. We established a general identity for Caputo-Fabrizio integral operators and the second derivative function. Using this identity new error bounds and estimates for strongly (s, m)-convex functions are obtained. Moreover, some novel trapezoidal-type inequalities are offered taking this identity into account using the known inequalities like Young, Jensen, Holder and power-mean inequalities. Finally, we present some applications for matrix inequality, estimation error regarding trapezoidal formulas and special means for real numbers.en10.22130/scma.2024.2023382.1633info:eu-repo/semantics/closedAccessTrapezoidal-type inequalityStrongly (s, m)-convex functionYoung's inequalityJensen inequalityArticle2223073322-s2.0-105003773141WOS:001500401200006Q3N/A