The Lebesgue constant for Lagrange interpolation on equidistant nodes |
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| Authors: | T M Mills S J Smith |
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| Institution: | (1) Department of Mathematics, La Trobe University College of Northern Victoria, P.O. Box 199, 3550 Bendigo, Victoria, Australia |
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| Abstract: | Summary Forn=1, 2, 3, ..., let
n
denote the Lebesgue constant for Lagrange interpolation based on the equidistant nodesx
k, n
=k, k=0, 1, 2, ...,n. In this paper an asymptotic expansion for log
n
is obtained, thereby improving a result of A. Schönhage. |
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| Keywords: | 41A05 41A10 41A60 |
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