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    ON SOME INEQUALITIES RELATED TO OPEN NEWTON-COTES FORMULAS FOR DIFFERENTIABLE CONVEX FUNCTIONS WITH APPLICATIONS
    (Univ Miskolc Inst Math, 2025) Sial, Ifra Bashir; Mei, Sun; Ali, Muhammad Aamir; Budak, Hseyin
    In 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.