Rational approximation of some limited smooth functions

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• 作者：Qian Zhan^a ; ^{qianzh527@126.com" class="auth_mail" title="E-mail the corresponding author} ; Shusheng Xu^b
• 关键词：Primary 41A05 ; 41A20 ; 41A25
• 刊名：Optik - International Journal for Light and Electron Optics
• 出版年：2016
• 出版时间：September 2016
• 年：2016
• 卷：127
• 期：18
• 页码：7072-7076
• 全文大小：214 K

文摘

In this paper, Newman-type rational interpolation to some limited smooth functions induced by some set of nodes X in [−1, 1] is considered and the upper and lower bound of the order of approximation is given, which is sharper than Stahl's result. And the error estimation is