修正的多元Stancu算子的两种保持性质  

Two kinds of preserved property by modified multivariate Stancu operators

作　　者：王小刚[1] 侯象乾[1] 

机构地区：[1]宁夏大学数学与计算机学院,宁夏银川750021

出　　处：《贵州师范大学学报（自然科学版）》2006年第2期78-81,共4页Journal of Guizhou Normal University：Natural Sciences

基　　金：宁夏自然科学基金资助项目(A001);宁夏高等学校科研基金资助项目(004M33)

摘　　要：对单纯形上修正的多元Stancu算子的保持性质进行了研究,得到了修正的多元Stancu算子具有保持连续模和保持HAω类的性质,推广了经典的Bernste in算子的一些结论。This paper has investigated the relationship between the modified multivariate Stancu operators and the preserved property on simplex. It is proved that the property of modulus of continuity and class HA^ω is preserved by the modified multivariate Stancu operators. The classical Bernstein operators are generalized.

关 键 词：单纯形 修正的多元Stancu算子 连续模 HA^ω类 

分 类 号：O174.41[理学—数学]