JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2017, Vol. 52 ›› Issue (8): 10-16.doi: 10.6040/j.issn.1671-9352.0.2016.315

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Approximation of lagrange interpolation polynomials based on the fourth Chebyshev nodes

ZHANG Yan-yan, YAN Chao   

  1. School of Mathematical Science, Tianjin Normal University, Tianjin 300387, China
  • Received:2016-07-04 Online:2017-08-20 Published:2017-08-03

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Abstract: This paper first provides the exact approximation errors for an analytic function class under the maximum norm based on the Lagrange interpolation polynomials with the fourth Chebyshev nodes in the worst setting. As for the norm of Lp(p>1), the corresponding strong asymptotic order for that kind of analytic function class is obtained.

Key words: Lagrange interpolation, worst case setting, function approximation, Chebyshev polynomial

CLC Number: 

  • O174.41
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