A unified generalization of some quadrature rules and error bounds

作者：Liu, Wenjun^*; Jiang, Yong; Tuna, Adnan

来源：Applied Mathematics and Computation, 2013, 219(9): 4765-4774.

DOI：10.1016/j.amc.2012.10.093

• Unified generalizations
• Quadrature rule
• Error bounds
• Simpson's rules

By 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.

• 出版日期2013-1-1
• 单位南京信息工程大学