On a Modifying Triangle Interpolation Polynomial
Received:June 20, 1995  
Key Words: modifing triangle interpolation polynomial   uniform convergence   best convergence order.  
Fund Project:
Author NameAffiliation
Feng Renzhong Dept. of Information
Changchun Taxation College
130021 
He Jiaxing Dept. of Appl. Math.
Jilin University of Technology
Changchun 130025 
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Abstract:
      The paper introduces a modifing triangle interpolation polynomial Wn(f;r,θ) (where r is a given natural number) based on these values of f(θ) (where f(θ)∈C and f(θ) is an odd function) on these nodes {θk=k/(n+1)π}nk=1. Wn(f;r,θ) uniformly converges to f(θ)(f(θ)∈C and f(θ) is an odd function) on the total real axis. The approximation order of Wn(f;r,θ) reaches the best approximation order when used to approximate to f(θ) where f(θ)∈Cj(0≤ j ≤ r - 1) and f (θ) is an odd function.
Citation:
DOI:10.3770/j.issn:1000-341X.1999.05.019
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