Error inequalities for a quadrature formula and applications
Error inequalities for a quadrature formula and applications
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DOI：
10.1016/j.camwa.2004.05.007
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发表时间：
2004-11
影响因子：
2.9
通讯作者：
N. Ujevi
中科院分区：
文献类型：
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作者：
N. Ujevi
导出了一个最优的开型两点求积公式。结果表明，最优求积公式比著名的两点高斯求积公式具有更好的误差界。建立了该公式的各种误差不等式。给出了在数值积分中的应用。
An optimal two-point quadrature formula of open type is derived. It is shown that the optimal quadrature formula has a better error bound than the well-known two-point Gaus quadrature formula. Various error inequalities for this formula are established. Applications in numerical integration are given.