Stancu-Kantorovich算子在Orlicz空间逼近的正定理  

Direct Theorem of Approximation by Stancu Kantorovich Operators in Orlicz Spaces

作　　者：孙志玲[1] 

机构地区：[1]内蒙古师范大学数学科学学院,内蒙古呼和浩特010022

出　　处：《内蒙古师范大学学报（自然科学汉文版）》2005年第3期280-282,289,共4页Journal of Inner Mongolia Normal University(Natural Science Edition)

基　　金：内蒙古自然科学基金资助项目(200408020108)

摘　　要：介绍了Bernstein-kantorovich算子的推广算子Stancu-kantorovich算子.以带权函数的连续模为工具,讨论了Stancu-kantorovich算子在Orlicz空间逼近的正定理.As a generalization of the Bernstein-kantorovich operators, Stancu-kantorovich operators is introduced. With the weighted modulus of smoothness as a metric,we prove the direct theorem of approximation by Stancu-kantorovich operators in Orlicz spaces.

关 键 词：Stancu—Kantorovich算子 ORLICZ空间 K-泛函 光滑模 

分 类 号：O174.41[理学—数学]