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The Jackson interpolation operator and construction of functions
Authors:Tingfan Xie  Xinlong Zhou
Affiliation:(1) Department of Mathematics, China Jiliang University,, 310018 Hangzhou, China;(2) Department of Mathematics, University of Duisburg-Essen,, 47048 Duisburg, Germany
Abstract:Summary We investigate the approximation behavior of the so-called Jackson interpolation operator. We will also study the K-functional deduced from this operator. As a result we obtain the asymptotic expression of this K-functional.
Keywords:degree of approximation  Jackson interpolation operator  asymptotic expression  K-functional
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