
By using a generalized Euler type identity and the way of analysis, the Ostrowski inequality is extended for high-order derivatives. Some of the inequalities produced are sharp. Some applications to trapezoidal and mid-point rules are given. For some particular integers, some estimates are given with respect to \(L_\infty\)-norm.
sharp inequality, Euler type identity, Applied Mathematics, Trapezoidal and mid-point rules, Inequalities for sums, series and integrals, Ostrowski type inequality, Sharp inequality, trapezoidal and mid-point rules
sharp inequality, Euler type identity, Applied Mathematics, Trapezoidal and mid-point rules, Inequalities for sums, series and integrals, Ostrowski type inequality, Sharp inequality, trapezoidal and mid-point rules
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