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Baskakov-Durrmeyer算子线性组合加权逼近的Stechkin-Marchaud型不等式
Stechkin-Marchaud-Type inequalities of weighted approximation for linear combination of Baskakov-Durrmeyer operators
【摘要】 讨论了光滑模与K-泛函的关系,给出Baskakov-Durrmeyer算子线性组合加权逼近Stechkin-Marchaud型不等式.同时,得到其逼近的逆定理.
【Abstract】 This paper studies the equivalence relation between K-functional and molduli of smoothness,and gives the weighted Stechkin-Marchaud-type inequalities of approximation for linear combination of Baskakov-Durrmeyer operators.Moreover,this paper also obtains the inverse result of weighted approximation for linear combination of Baskakov-Durrmeyer operators with ω? 2 r(f;t) w,p.
【关键词】 Baskakov-Durrmeyer算子;
线性组合;
Stechkin-Marchaud型不等式;
K-泛函;
加权逼近;
【Key words】 Baskakov-Durrmeyer operator; linear combination; Stechkin-Marchaud-type inequality; K-functional; weighted approximation;
【Key words】 Baskakov-Durrmeyer operator; linear combination; Stechkin-Marchaud-type inequality; K-functional; weighted approximation;
【基金】 国家自然科学基金(No.10671019);台州学院重点科研项目(No.09ZD08)
- 【文献出处】 西南民族大学学报(自然科学版) ,Journal of Southwest University for Nationalities(Natural Science Edition) , 编辑部邮箱 ,2010年01期
- 【分类号】O177
- 【被引频次】1
- 【下载频次】39