函数带权的最佳逼近多项式的存在唯一性定理

Existence and Uniqueness Theorem for Best Approximation Polynomials of the Weighted Functions

研究函数带权的最佳逼近多项式的性质及误差估计,给出了函数带权的最佳逼近多项式存在的条件及唯一性定理;另外对最佳逼近多项式的特性研究给出了其下界的误差估计。

The properties and error estimate for best approximation polynomials of the weighted functions are studied. It gives the existence and uniqueness theorem for best approximation polynomials of the weighted functions, and gives uniqueness theorem for best approximation polynomials＇s lower bound.