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A Linear Combination of Lagrange Interpolation Polynomial

FU Yao, WANG Shuyun, SUN Yi   

  1. College of Mathematics, Jilin University, Changchun 130012, China
  • Received:2006-01-20 Revised:1900-01-01 Online:2007-01-26 Published:2007-01-26
  • Contact: WANG Shuyun

Abstract: Here we work out a combinational operator Wn,r(f,x) with zeros of the polynomial through the method of combination average. Convergence order of the operator Wn,r(f,x) is the best if Cj[-1,1](0≤j≤r, r, where r is an arbitrary odd natural number).

Key words: Lagrange interpolation polynomial, pointwise approximation order, linear combination, operator

CLC Number: 

  • O174.41