Stancu算子对黎曼可积函数的逼近  

The Approximation of Riemann Integrable Functions by Stancu Operators

作　　者：侯象乾[1] 薛银川[1] 

机构地区：[1]宁夏大学数学系

出　　处：《宁夏大学学报（自然科学版）》1990年第4期1-8,共8页Journal of Ningxia University(Natural Science Edition)

摘　　要：本文借助[3]所引入的半范与相应的τ-模建立Stancu算子对■可积函数■近的正定理。In this paper, the approximation by Stancu operators in the space of Riemann integrable functions are studied. The following results is obtained:Theorem If f∈R[0, 1], then‖P_(n,s)f-f‖_(1/n)≤M_τ(f, n^(-1/2))_1,‖P_(n,s)f-f‖(?)≤M_τ(f,n^(-1/2).

关 键 词：STANCU算子 黎曼可积函数 逼近 

分 类 号：O174.41[理学—数学]