Approximation Theorem for Sz\'{a}sz-Kantorovich-B\'{e}zier Operators in $L_p[0, \infty)$
Received:January 03, 2005  
Key Words: Sz\'{a}sz-Kantorovich-B\'{e}zier operator   direct and inverse theorems   K-functional   modulus of smoothness.  
Fund Project:the National Natural Science of China (10571040), the Natural Science Foundation of Hebei Province (Ai004000137)
Author NameAffiliation
GUO Shun-sheng College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050016, China 
QI Qiu-lan College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050016, China 
LI Qing College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050016, China 
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Abstract:
      In this note we give the direct approximation theorem, inverse theorem and equivalence theorem for Sz\'{a}sz-Kantorovich-B\'{e}zier operators in the space $L_{p}[0, \infty)\;(1\le p\le\infty)$ with Ditzian-Totik modulus.
Citation:
DOI:10.3770/j.issn:1000-341X.2006.04.014
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