Zolotarev's first problem — the best approximation by polynomials of degree ≤n − 2 tox n − nσx n−1 in [−1, 1]-Reference-Cited by-同舟云学术

Zolotarev's first problem — the best approximation by polynomials of degree ≤n − 2 tox n − nσx n−1 in [−1, 1]

Published:1983-12 Issue:1 Volume:26 Page:1-33
ISSN:0001-9054
Container-title:Aequationes Mathematicae
language:en
Short-container-title:Aeq. Math.

Author:

Carlson B. C.,Todd John

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/BF02189661.pdf

Reference21 articles.

1. Achieser, N. I., Über einige Funktionen, die in gegebenen Intervallen am wenigstens von Null abweichen. Bull. Soc. Phys. Math., Kasan, Ser. III,3 (1929), 1–69.

2. Achieser, N. I.,Vorlesungen über Approximationstheorie {2}. Akademie-Verlag, Berlin, 1967 (Russian edition, 1965).

3. Erdélyi, A., Magnus, W., Oberhettinger, F. andTricomi, F. G.,Higher transcendental functions. (Bateman Manuscript Project), McGraw-Hill, New York, 1953.

4. Carlson, B. C.,Special functions of applied mathematics. Academic Press, New York, 1977.

5. Carlson, B. C. andTodd, John,The degenerating behavior of elliptic functions. SIAM J. Numer. Anal. (to appear).

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