摘要
讨论了ＦｏｕｒｉｅｒＬａｐｌａｃｅ级数部分和的一致逼近．建立了部分和算子对由最佳逼近定义的函数类逼近的强渐近估计．证明在某种意义下，其渐近估计是不可改进的．
The paper deals with the uniform approximation by FourierLaplace sums on the sphere. The strong asymptotic estimates for approximations of functional class, defined by the majorant of the best approximation, are established. In a certain sence, the estimates obtained in the paper are best possible.
出处
《湖北大学学报（自然科学版）》
CAS
1997年第4期311-316,共6页
Journal of Hubei University：Natural Science
基金
国家自然科学基金
国家教委科研基金
关键词
最佳逼近
部分和算子
F-L级数
Best approximation
FourierLaplace series
Partial sum operator
