逼近定积分的再生核方法

A New Reproducing Kernel Method for Approximating the Definite Integral

讨论计算连续函数定积分的一种新方法,即应用再生核方法确定近似积分值来逼近精确积分值,从而用有限项的和去近似定积分的值.数值算例充分地说明了这种方法的有效性.

In this paper, a new method for calculating definite integrals of continuous functions is discussed, which determine the approximate integral values by applying the reproducing kernel method to approximate the exact integral value, so as to use the finite terms to approximate the value of definite integrals. Numerical results show that the method is simple and effective.