Convergence rates of approximate sums of Riemann integrals

Convergence rates of approximate sums of Riemann integrals
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DOI:
10.1016/j.jat.2008.10.005
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发表时间:
2009-12
期刊:
J. Approx. Theory
影响因子:
--
通讯作者:
H. Tasaki
H. Tasaki
中科院分区:
其他
文献类型:
--
作者:
H. Tasaki

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我们将Riemann积分的Riemann和与梯形和关于有界闭区间的正则划分与最优划分的收敛速度表示为它们的扩展误差项的某些极限。
We represent the convergence rates of the Riemann sums and the trapezoidal sums with respect to regular divisions and optimal divisions of a bounded closed interval to the Riemann integrals as some limits of their expanded error terms.