酉群上的Vallee-Poussin算子

本文讨论了酉群上的Vall(?)e-Poussin算子,给出了这种类型的算子对于酉群上H~α类函数的逼近偏差以及对于酉群上连续函数类的逼近阶与逼近常数的上界估计,此外本文还讨论了这种算子对于可微函数的逼近问题以及二阶酉群上的饱和阶等等。

VALLEE-POUSSIN'S OPERATORS ON UNITARY GROUPS

This paper deals with the Vallee-Poussin's operators on unitary groups (V_N(f)), showing the approximating measure of V_N(f) to H~α-class functions on unitary groups and the approximating degree and constants to continuous functions on unitary groups,In addition, we also consider the approximating problems of V_N(f) to the differentiable functions on unitary groups and so on