数学季刊 ›› 2006, Vol. 21 ›› Issue (1): 4-9.

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单纯形上积分型Stancu算子在Lp中的逼近逆定理

  

  1. Department of Mathematics, Capital Normal University, Beijing 100037, China
  • 收稿日期:2003-11-12 出版日期:2006-03-30 发布日期:2023-12-14
  • 作者简介:ZHANG Chun-gou(1962-),male,native of Yongxin,Jiangxi,an associate professor of Capital Normal University,engages in approximation theory of function.
  • 基金资助:
     Supported by the NNSF of China(10371080); Supported by the Educational Committee Foundation of Beijing(01KJ-101);

Inverse Theorem of Approximation in Lp for the Stancu Integral-type Operators on a Simplex

  1. Department of Mathematics, Capital Normal University, Beijing 100037, China
  • Received:2003-11-12 Online:2006-03-30 Published:2023-12-14
  • About author:ZHANG Chun-gou(1962-),male,native of Yongxin,Jiangxi,an associate professor of Capital Normal University,engages in approximation theory of function.
  • Supported by:
     Supported by the NNSF of China(10371080); Supported by the Educational Committee Foundation of Beijing(01KJ-101);

摘要: In this paper, the integral-type Stancu operators on a simplex is considered and its inverse theorem of approximation in Lp(1≤p<+∞)has been obtained.

关键词: simplex, K-functional, the integral-type Stancu operators, inverse theorem of approximation

Abstract: In this paper, the integral-type Stancu operators on a simplex is considered and its inverse theorem of approximation in Lp(1≤p<+∞)has been obtained.

Key words: simplex, K-functional, the integral-type Stancu operators, inverse theorem of approximation

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