数学季刊 ›› 2011, Vol. 26 ›› Issue (1): 152-158.

• • 上一篇    

一类混合型Szàsz-Beta算子的强逆不等式

  

  1. 1. College of Mathematics and Information Science, Hebei Normal University2. Department of Mathematics, Mechanical Engineering College 

  • 收稿日期:2007-10-25 出版日期:2011-03-30 发布日期:2023-05-15
  • 作者简介:QI Qiu-lan(1969- ), female, native of Lingbao, Henan, a professor of Hebei Normal University, Ph.D., engages in functional approximation theory; ZHANG Yu-ping(1982- ), female, native of Shijiazhuang, Hebei, a lecturer of Mechanical Engineering College, engages in functional approximation theory.
  • 基金资助:
     Supported by National Science Foundation of China(10571040)；

Strong Converse Inequalities for Certain Mixed Szasz-Beta Operators  

  1. 1. College of Mathematics and Information Science, Hebei Normal University2. Department of Mathematics, Mechanical Engineering College 
  • Received:2007-10-25 Online:2011-03-30 Published:2023-05-15
  • About author:QI Qiu-lan(1969- ), female, native of Lingbao, Henan, a professor of Hebei Normal University, Ph.D., engages in functional approximation theory; ZHANG Yu-ping(1982- ), female, native of Shijiazhuang, Hebei, a lecturer of Mechanical Engineering College, engages in functional approximation theory.
  • Supported by:
     Supported by National Science Foundation of China(10571040)；

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摘要： In this paper, a strong converse inequality of type B in terms of a new K-functional Kλα(f, t2)(0 < α < 2, 0 ≤λ≤ 1) for certain mixed Szász-Beta operators is given. By this inequality, the converse theorem can be obtained for the operators.

关键词: Szasz-Beta operators, K-functional, strong converse inequality, Holder inequality

Abstract: In this paper, a strong converse inequality of type B in terms of a new K-functional Kλα(f, t2)(0 < α < 2, 0 ≤λ≤ 1) for certain mixed Szász-Beta operators is given. By this inequality, the converse theorem can be obtained for the operators.

Key words: Szasz-Beta operators, K-functional, strong converse inequality, Holder inequality

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