Approximation Properties of a Class of Extremal Polynomials over Smooth Jordan Curves
Received:February 24, 1998  
Key Words: smooth Jordan curve   extremal polynomial   approximation property.  
Fund Project:Supported by the National Science Foundation of China (19771006)
Author NameAffiliation
XIE Ting-fan China Institute of Metrology, Zhejiang 310034, China 
ZHOU Song-ping Inst. of Math., Ningbo University, Zhejiang 315211, China 
ZHU Lai-yi College of Information, The People's University of China, Beijing 100872, China 
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Abstract:
      There have been many elegant results discussing the approximation proper ties of the Bieberbach polynomials. However, very few papers investigated the approximation properties of the extremal polynomials over Jordan curves. In the present paper, some results on a class of extremal polynomials over C1+α smooth Jordan curves are obtained.
Citation:
DOI:10.3770/j.issn:1000-341X.2001.02.005
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