修正型Lupas-Baskakov积分算子的逼近性质  

On Approximation Properties of the Modified Lupas-Baskakov Integral Operators

作　　者：田军[1] 王莉[1] 郭耀煌[1] 

机构地区：[1]西南交通大学经济管理学院,四川成都610031

出　　处：《西南交通大学学报》2001年第1期75-79,共5页Journal of Southwest Jiaotong University

基　　金：河南省自然科学基金资助项目!(9840 5 2 6 0 0 )

摘　　要：引入了修正型Lupas Baskakov积分算子 ,它是由Lupas算子和Baskakov算子复合而得到的。通过分析和研究修正型Lupas Baskakov算子的性质 ,给出了该类算子的Vonorovskya渐近表达式 ,确定了此类算子的饱和阶及平凡类 ,最后建立了修正型Lupas Baskakov积分算子的饱和定理。A modifi ed Lupas Baskakov integral operator, which compounds Lupas operator and Baskako v operator, is introduced in this paper. By analyzing and researching the proper ties of the modified Lupas Baskakov integral operators, the paper obtains the V onorovskya asymptotic formula, establishes the saturated order and trifle set of the modified Lupas Baskakov integral operators, and then sets up the saturation theorem for this kind of operators.

关 键 词：逼近 VONOROVSKYA表达式 饱和定理 修理型LUPAS-BASKAKOV积分算子 饱和阶 平凡类 

分 类 号：O174.41[理学—数学] O177.6[理学—基础数学]