数学季刊 ›› 2008, Vol. 23 ›› Issue (3): 384-389.

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Szász-Mirakjan算子加权逼近的强逆不等式

  

  1. School of Mathematics and Computer Science,Ningxia University

  • 收稿日期:2005-04-28 出版日期:2008-09-30 发布日期:2023-09-21
  • 作者简介:LIU Guo-jun(1978- ), male, native of Wuzhong, Ningxia, a lecturer of Ningxia University, Ph.D., engages in approximation theory of function, wavelet theory and its application.
  • 基金资助:
    Supported by the Foundation of Higher School of Ningxia(04M33); Supported by the
    NSF of Ningxia University(ZR0622)

Strong Converse Inequalities for Szász-Mirakjan Operators with Weights

  1. School of Mathematics and Computer Science,Ningxia University
  • Received:2005-04-28 Online:2008-09-30 Published:2023-09-21
  • About author:LIU Guo-jun(1978- ), male, native of Wuzhong, Ningxia, a lecturer of Ningxia University, Ph.D., engages in approximation theory of function, wavelet theory and its application.
  • Supported by:
    Supported by the Foundation of Higher School of Ningxia(04M33); Supported by the
    NSF of Ningxia University(ZR0622)

摘要: In this paper, we give the strong converse inequalities of type B with the new K-functional Kλα(f,t2)w(0 ≤λ≤ 1, 0 < α < 2) on weighted approximation for Szász-Mirakjan operators, which extend the previous results.


关键词: Száz-Mirakjan operators, strong converse inequalities, approximation

Abstract: In this paper, we give the strong converse inequalities of type B with the new K-functional Kλα(f,t2)w(0 ≤λ≤ 1, 0 < α < 2) on weighted approximation for Szász-Mirakjan operators, which extend the previous results.


Key words: Száz-Mirakjan operators, strong converse inequalities, approximation

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