插值算子对解析函数类的逼近误差

Approximation errors of interpolation operators to an analytic function class

在最大框架下研究3类插值算子对一个解析函数类的逼近误差.对于最大范数,得到了相应量的精确值;对于Lp-范数(1≤p<∞),得到了相应量的精确值或强渐近阶.

The approximation errors of three kinds of interpolation operators to an analytic function class in the worst ease setting are studied. For the maximum norm, the exact values are obtained, and for the Lρ -norm with 1 ≤p 〈 ∞, the exact values or the strong asymptotic orders are obtained.