摘要
研究修正的Baskakov算子Vn f,x的逼近性,在"保持x2的Baskakov算子逼近"将Baskakov算子修正为Vn f,x,并利用统一光滑模f,t研究其收敛速度的基础上,利用K-泛函和光滑模的等价性讨论了修正的Baskskov算子点态逼近阶的特征刻画,得出了逼近正逆定理.扩展了以前的一些结果.
Baskskov operators have been modified as the operators Vn f,x and it’s rate of convergence has been investigated by means of f,t in the published thesis ＂Approximation of Baskakov Operators Which Preserve x 2＂.In order to study the approximation of the modified Baskskov operators,the paper discusses the feature description of the pointwise approximation order of Baskskov operators using the K-functional and smooth modulus’ equivalence,and draws the direct and converse theorem of the operator.The results extend some previous achievements.
出处
《辽宁工程技术大学学报（自然科学版）》
CAS
北大核心
2013年第3期401-404,共4页
Journal of Liaoning Technical University (Natural Science)
基金
辽宁省科技攻关基金资助项目(2010230004)
高等学校博士学科点专业科研基金资助项目(20091108110004)
关键词
Baskskov算子
K-泛函
光滑模
修正
点态逼近
逼近阶
正定理
逆定理
Baskskov operators
K-functional
module of smoothness
correction
pointwise approximation
order of approximation
direct theorem
converse theorem
