Rational approximation to Lipschitz and Zygmund classes |
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Authors: | P B Borwein S P Shou |
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Institution: | 1. Department of Mathematics, Statistics and Computing Science, Dalhousie University, B3H 3J5, Halifax, Nova Scotia, Canada
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Abstract: | In this paper, characterizations for lim
n![rarr](/content/G486T77637776187/xxlarge8594.gif) (R
n
(f)/ (n
–1)=0 inH
and for lim
n![rarr](/content/G486T77637776187/xxlarge8594.gif) (n
r+
R
n
(f)=0 inW
r Lip ,r 1, are given, while, forZ, a generalization to a related result of Newman is established.Communicated by Ronald A. DeVore. |
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Keywords: | AMS classification" target="_blank">AMS classification 41A20 |
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