Bernstein算子对具有奇性函数的加权同时逼近

Weighted Simultaneous Approximation by Bernstein Operators for Functions with Singularities

利用在端点用Lagrange插值代替函数值的方法构造了一种新的Bernstein算子,这种新的算子可以用以逼近端点具有奇性的函数,并给出了它同时逼近的正定理.

We construct a new type of Bernstein operators by using Lagrange interpolation to replace the values of f（x） at endpoints,which enable us to approximate the functions with singularities.The direct result of the weighted pointwise simultaneous approximation of the new operators is given.