Acta mathematica scientia,Series A

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Strong Converse Inequalities for Weighted Simultaneous

Approximation by Gamma Operators in Lp (1≤p ≤∞) Spaces

Qi Qiulan; Guo Shunsheng;Huang Suxia
  

  1. College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050016
  • Received:2006-08-13 Revised:2007-08-18 Online:2008-06-25 Published:2008-06-25
  • Contact: Qi Qiulan

Abstract: In this paper, the authors consider the weighted simultaneous approximation by the Gamma operator and establish the strong converse inequality of type $B$ for the operator with the weighted $K$-functional $K^2_{\varphi}(f, t^2)_{w,p}$ in the space $L_p\;(1\le p\le \infty)$.

Key words: Gamma operator, Approximation, K -functional, Strong converse inequality

CLC Number: 

  • 41A10
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