摘要
引进了Ｆｏｕｒｉｅｒ－Ｌｅｇｅｎｄｒｅ展开的广义Ｒｉｅｓｚ可和算子．讨论了广义Ｒｉｅｓｚ可和算子的收敛性．建立了广义Ｒｉｅｓｚ可和算子和ＰｅｅｔｒｅＫ－泛函之间的渐近等价关系．Ｋ－泛函完全刻划了Ｒｉｅｓｚ可和算子的逼近阶．
The generalized Riesz summability operators are introduced.The convergence and boundedness of the Riesz operators is discussed.The equivalent relationships of the Peetre K functionals and the Riesz operators are established.
出处
《数学杂志》
CSCD
1998年第4期473-477,共5页
Journal of Mathematics
