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Bernstein型算子线性组合加Jacobi权逼近及高阶导数的等价定理
引用本文:彭联勇,王建军.Bernstein型算子线性组合加Jacobi权逼近及高阶导数的等价定理[J].应用数学,2011,24(4).
作者姓名:彭联勇  王建军
作者单位:西南大学数学与统计学院,重庆,400715
基金项目:国家青年自然科学基金资助项目(11001227); 重庆市自然科学基金资助项目(CSTC, 2009BB2306); 中央高校基本科研业务费专项资助(XD.JK2010B005)
摘    要:本文利用加权Ditzian-Totik光滑模证明Bernstein型算子的线性组合加权逼近阶估计和等价定理;同时,研究加Jacobi权下Benstein型算子的高阶导数与所逼近函数光滑性之间的关系.

关 键 词:Bernstein算子线性组合  Jacobi权  加权光滑模

Equivalent Approximation Theorems with Jacobi Weight for Combinations and Higher Derivatives of Bernstein Operators
PENG Lianyong , WANG Jianjun.Equivalent Approximation Theorems with Jacobi Weight for Combinations and Higher Derivatives of Bernstein Operators[J].Mathematica Applicata,2011,24(4).
Authors:PENG Lianyong  WANG Jianjun
Institution:PENG Lianyong,WANG Jianjun (Southwest University,Chongqing 400715,China)
Abstract:Using the Ditzian-Totik moduli of smoothness equivalent approximation theorem with Jacobi weight for combinations of Bernstein operators is established in the paper.And the relation between higher derivatives of the operators and the smoothness of functions to be approximated is also obtained in the paper.
Keywords:Combinations of Bernstein operators  Jacobi weight  Moduli of smoothness with weight  
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