Liu, WenjunJiang, YongTuna, Adnan2019-08-012019-08-0120130096-3003https://dx.doi.org/10.1016/j.amc.2012.10.093https://hdl.handle.net/11480/4493By introducing a parameter, we give a unified generalization of some quadrature rules, which not only unify the recent results about error bounds for generalized mid-point, trapezoid and Simpson's rules, but also give some new error bounds for other quadrature rules as special cases. Especially, two sharp error inequalities are derived when n is an odd and an even integer, respectively. (C) 2012 Elsevier Inc. All rights reserved.eninfo:eu-repo/semantics/closedAccessUnified generalizationsQuadrature ruleError boundsSimpson's rulesA unified generalization of some quadrature rules and error boundsArticle21994765477410.1016/j.amc.2012.10.0932-s2.0-84871328884Q1WOS:000312366700056Q1