B_α空间中Bernstein-Durrmeyer多项式加权逼近的正逆定理  

Direct and converse theorems for weighted approximation of Bernstein-Durrmeyer polynomials in B_α spaces

作　　者：孙渭滨[1] 侯象乾[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》2004年第3期113-115,共3页Journal of Lanzhou University of Technology

基　　金：宁夏回族自治区自然科学基金(A001)

摘　　要：研究了Bα空间中Bernstein Durrmeyer多项式的加权逼近,得到了强型正定理和弱型逆定理,从而导出了逼近的特征定理.A weighted approximation of Bernstein-Durrmeyer polynomials in B_α spaces is studied, and the direct theorem of strong type and converse theorem of weak type are obtained. Thereby the characteristic theorem of approximation is induced.

关 键 词：BΑ空间 Bernstein-Durrmeyer多项式 加权逼近 

分 类 号：O174.41[理学—数学]