CAJ | 학술논문

数值积分广泛应用于数理科学和工程学科，定积分近似计算的中点矩形法具有较高精度。本文在研究已有文献的基础上，通过构造适当的核函数，证明了两个有扰动的新的中点矩形不等式，得出了有扰动的中点矩形法的新的误差界。同时给出了它们在数值积分中的应用，拓宽了中点矩形法的应用范围。
수치적분엄범응용우수이과학화공정학과，정적분근사계산적중점구형법구유교고정도。본문재연구이유문헌적기출상，통과구조괄당적핵함수，증명료량개유우동적신적중점구형불등식，득출료유우동적중점구형법적신적오차계。동시급출료타문재수치적분중적응용，탁관료중점구형법적응용범위。
Numerical integration is widely used in science and engineering disciplines,the definite integral ap-proximate midpoint rectangular method has high accuracy. In this paper,two midpoint inequalities with distur-bances are proved on the basis of previous researches by establishing proper kernel functions,the new error bounds of the midpoint rectangular method with disturbances are obtained. The applications in numerical inte-gration are also given,which broaden the scope of applications of the midpoint rectangular method.