Hermite—Fejér Interpolation for Rational Systems |
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Authors: | G. Min |
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Affiliation: | (1) Centre for Experimental & Constructive Mathematics Department of Mathematics and Statistics Simon Fraser University Burnaby BC Canada V5A 1S6 gmin@cecm.sfu.ca, CA |
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Abstract: | This paper considers Hermite—Fejér and Grünwald interpolation based on the zeros of the Chebyshev polynomials for the real rational system P n (a 1 , . . . , a n ) with the nonreal poles in {a}n k=1 C[-1,1] paired by complex conjugation. This extends some well-known results of Fejér and Grünwald for the classical polynomial case. July 11, 1996. Dates revised: January 6, 1997 and July 30, 1997. |
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Keywords: | . Hermite— Fejér interpolation, Grünwald interpolation, Rational system, Uniform approximation, Mean convergence. AMS Classification. 41A05, 41A20. |
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