Bernstein-Kantorovich算子导数与光滑性  

Derivatives of Bernstein-Kantorovich Operators and Smoothness

作　　者：蒋红标[1] 

机构地区：[1]丽水师范专科学校数学系,浙江丽水323000

出　　处：《吉首大学学报（自然科学版）》2003年第1期68-70,共3页Journal of Jishou University(Natural Sciences Edition)

基　　金：浙江省自然科学基金资助项目(102005)

摘　　要：借助于r-阶古典光滑模ωr(f,t),研究了Bernstein-Kantorovich算子导数与它所逼近函数光滑性之间的关系,得到了Bernstein-Kantorovich算子导数与r-阶古典光滑模ωr(f,t)的等价定理.Use the r-th classic modulus of smoothness ωr(f,t) to study the relation of the derivatives between Bernstein-Kantorovich operators and the smoothness of the function it approximates,and obtain the equivalent theorem between the derivatives of Bernstein-Kantorovich operators and the r-th classic modulus of smoothness ωr(f,t).

关 键 词：算子逼近 BERNSTEIN-KANTOROVICH算子 r-阶古典光滑模 函数逼近 算子导数 光滑性 

分 类 号：O174.41[理学—数学]