A Modification of Lagrange Interpolation |
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| Authors: | T Xie X Zhou |
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| Institution: | (1) Department of Computer Sciencce, China Institute of Metrology, 310034 Hangzhou, China;(2) Department of Mathematics, University of Duisburg, 47057 Duisburg, Germany |
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| Abstract: | A modification of Lagrange interpolation based on the zeros of the Chebyshev polynomial of the second kind is constructed, which interpolates at many ofgiven data. Thus, for this node-system the main result gives an affimative answer to a problem suggested by Bernstein in 1930. Moreover, our modification has a Timan-Gopengauz type approximation rate. |
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| Keywords: | Lagrange interpolation Timan-Gopengauz estimate Chebyshev polynomial |
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