B_α空间中Kantorovich算子加权逼近的等价定理  

Equivalent theorem of weighted approximation for Kantorovich operators in B_α spaces

作　　者：孙渭滨[1] 

机构地区：[1]宁夏大学数学计算机学院,宁夏银川750021

出　　处：《兰州理工大学学报》2005年第3期136-139,共4页Journal of Lanzhou University of Technology

摘　　要：以带权函数的光滑模为工具,研究了Bα空间中Kantorovich算子逼近的强型正定理和弱型逆定理,进而得到了其等价刻划定理.The approximational problem of Kantorovich operators was studied in B_α spaces by using a smooth modulus with weight function,and the direct theorem of strong type and converse theorem of weak type were established,so that the equivalent characterizing theorem of the operators was obtained.

关 键 词：BΑ空间 KANTOROVICH算子 加权光滑模 逼近 

分 类 号：O174.41[理学—数学]