【摘要】 关于用Lagrange插值算子的一阶导数逼近函数的一阶导数有许多杰出的工作,但人们对用Lagrange插值算子的二阶导数逼近函数的二阶导数有怎样的敛速估计也十分感兴趣.本文我们对一类Lagrange插值算子除给出用其一阶导数逼近函数一阶导数的误差估计外,还将首次给出其二阶导函数逼近函数二阶导函数的误差估计.更多还原

【Abstract】 Error-estimation o?the first dervat ive of a function by means of the first order Lagrange Interpolation operator is described, and for the firs ttime, the error-estimation of the second derivative of a function by the second order derivative of the Lagrange interpolation operator is also offered.更多还原