Sinc方法修正数值迭代积分的显式误差界
Explicit error bound for modified numerical iterated integration by means of Sinc methods
摘要：
本文对Muhammad Mori提出的数值迭代积分法作了以下两点改进：1）对近似公式作了修正，使其在更一般的情况下具有更好的收敛速度; 2）以可计算的形式给出了修正公式的明确的误差界。这个公式非常有效，特别是当被积函数是乘积型的时候。数值例子证实了这一点。
英文摘要：
This paper reinforces numerical iterated integration developed by Muhammad--Mori in the following two points: 1) the approximation formula is modified so that it can achieve a better convergence rate in more general cases, and 2) explicit error bound is given in a computable form for the modified formula. The formula works quite efficiently, especially if the integrand is of a product type. Numerical examples that confirm it are also presented.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
