Sial, Ifra BashirMei, SunAli, Muhammad AamirBudak, Hseyin2025-10-112025-10-1120251787-24051787-2413https://doi.org/10.18514/MMN.2025.4533https://hdl.handle.net/20.500.12684/21665In this paper, first, we prove a novel integral identity involving a single time-differentiable function. Then, we prove some new inequalities associated with one of the open Newton-Cotes formulas for differentiable convex functions. The newly established inequalities can be helpful in finding the error bounds of one of the open Newton-Cotes formulas. Finally, some applications of the inequalities are also presented in the context of open Newton-Cotes formulas.en10.18514/MMN.2025.4533info:eu-repo/semantics/openAccessopen Newton-Cotes formulasconvex functionsintegral inequalitiesArticle2615175252-s2.0-105008023036WOS:001545633100034Q2Q2