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The best approximation of some rational functions in uniform norm

Jokar, S ; Sharif University of Technology | 2005

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  1. Type of Document: Article
  2. DOI: 10.1016/j.apnum.2005.02.005
  3. Publisher: 2005
  4. Abstract:
  5. Here we are concerned with the best approximation by polynomials to rational functions in the uniform norm. We give some new theorems about the best approximation of 1/(1+x) and 1/(x-a) where a>1. Finally we extend this problem to that of computing the best approximation of the Chebyshev expansion in uniform norm and give some results and conjectures about this. © 2005 IMACS. Published by Elsevier B.V. All rights reserved
  6. Keywords:
  7. Approximation theory ; Integral equations ; Polynomials ; Theorem proving ; Alternating sets ; Best approximations ; Chebyshev polynomials ; Functions
  8. Source: Applied Numerical Mathematics ; Volume 55, Issue 2 , 2005 , Pages 204-214 ; 01689274 (ISSN)
  9. URL: https://dl.acm.org/doi/abs/10.5555/1099140.1642854