一类拟多项式倒数对振荡衰减型函数的逼近

Approximation of Quasi—rediprocals of Polynomials to the Oscillation Decay—type Functions

本文研究了在区间[0,∞)上,一类振荡衰减型函数用形如 B(x)/P^k(x)的拟多项式例数的最佳一致逼近问题,给出了逼近的存在性定理,特征定理和唯一性推论。

In this paper,has been studied the optimal uniform approximation of the quasireciprocals of polynomials in the form of B(x)/Pk(x)to the 1st group oscillating decay —type functipn within[0,∞].The existence,characterixation and uniqueness of this approximation are also shown.