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Baskakov算子加Jacobi权逼近及其导数的正逆定理
引用本文:王建军,薛银川.Baskakov算子加Jacobi权逼近及其导数的正逆定理[J].数学年刊A辑(中文版),2005(4).
作者姓名:王建军  薛银川
作者单位:西安交通大学理学院信息与系统科学研究所,宁夏大学数学计算机学院 西安 710049,银川 750021
摘    要:本文利用加权光滑模ω_~2λ(f,t)ω给出了Baskakov算子加Jacobi权逼近的正逆定理;另外,研究了加权下Baskakov算子导数与所逼近函数光滑性之间的关系.

关 键 词:Baskakov算子  Jacobi权  光滑模

DIRECT AND INVERSE APPROXIMATION THEOREMS WITH JACOBI WEIGHT AND DERIVATIVES OF BASKAKOV OPERATORS
WANG Jianjun XUE Yinchuan Institute of Information and System Science,Faculty of Science,Xi'an Jiaotong University,Xi'an ,China. School of Mathematics and Computer Science,Ningxia University,Yinchuan ,China..DIRECT AND INVERSE APPROXIMATION THEOREMS WITH JACOBI WEIGHT AND DERIVATIVES OF BASKAKOV OPERATORS[J].Chinese Annals of Mathematics,2005(4).
Authors:WANG Jianjun XUE Yinchuan Institute of Information and System Science  Faculty of Science  Xi'an Jiaotong University  Xi'an  China School of Mathematics and Computer Science  Ningxia University  Yinchuan  China
Institution:WANG Jianjun XUE Yinchuan Institute of Information and System Science,Faculty of Science,Xi'an Jiaotong University,Xi'an 710049,China. School of Mathematics and Computer Science,Ningxia University,Yinchuan 750021,China.
Abstract:
Keywords:Baskakov operators  Jacobi weights  Moduli of smoothness
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