带约束多项式倒数加性权逼近的特征定理

Additive Weight Best Approximation by Reciprocals of Polynomials Subject to Coefficient Constraints

讨论了在[0,+∞)的紧子集 B 上关于函数f∈C(B)\R(α,β)的倒数形式 r~*-=1/u~*∈R(α,β)的加性权最佳逼近问题,同时考察了该形式的最佳逼近所具有的特性。

Discussed the question of additive weight best approximation from reciprocals with Restricted Coefficients.The Characterizations are gived.