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d维Bernstein算子加Jacobi权的收敛阶 被引量:4

DEGREE OF CONVERGENCE WITH JACOBI WEIGHT FOR D-DIMENSIONAL BERNSTEIN OPERATORS
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摘要 Using the equivalence relation between K-functional and moduli of smoothness, methods of partition function and induction, we establish a strong direct theorem and an inverse theorem of weak type of weighted approximation for d-dimensional Bernstein operators on a simplex in this paper. Using the equivalence relation between K-functional and moduli of smoothness, methods of partition function and induction, we establish a strong direct theorem and an inverse theorem of weak type of weighted approximation for d-dimensional Bernstein operators on a simplex in this paper.
出处 《计算数学》 CSCD 北大核心 2001年第4期407-416,共10页 Mathematica Numerica Sinica
关键词 单纯形 BERNSTEIN算子 加权逼近 收敛阶 BERNSTEIN基函数 Jacobi权函数 Simplex, Bernstein operators, Weighted approximation, Direct theorem, Inverse theorem
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参考文献4

  • 1周定轩.Bernstein算子加Jacobi权的收敛阶[J].数学学报(中文版),1992,35(3):331-338. 被引量:22
  • 2Zhou Dingxuan,J Approx Theory,1994年,76卷,403页
  • 3Zhou Dingxuan,数学学报,1992年,35卷,3期,331页
  • 4Berens H,Indag Math,1991年,2卷,4期,411页

二级参考文献1

  • 1Chui C K,J Approx Theory,1988年,55卷,35页

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