Weighted Approximation by Hight Order Interpolation in Lwp Space 
Received:January 22, 1997  
Key Words: Hermite-Fejer interpolation   Hermite interpolation   approximation order.  
Fund Project:
Author NameAffiliation
Sheng Baohuai Dept. of Appl. Math.
Xidian University
Xi′an 710071 
Li Hongtao Dept. of Math.
Baoji College of Arts and Sciences
Shanxi 721007 
Shang Zengke Dept. of Math.
Baoji College of Arts and Sciences
Shanxi 721007 
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Abstract:
      The paper gives a new way of constructing Hermite-Fejer and Hermite interpolatory polynomials with the nodes of the roots of first kind of Chebyshev polynomials and gives the approximation order of these two kinds of operators. The approximation orders are described with the best rate of approximation of f by polynomials of degree ≤N=(q+1)n-1 in Lwp spaces.
Citation:
DOI:10.3770/j.issn:1000-341X.1999.05.005
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