Effective approach to least deviation problems
Sbornik. Mathematics, Tome 193 (2002) no. 12, pp. 1749-1769
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A hierarchy of extremal polynomials described in terms of real hyperelliptic curves of genus $g\geqslant0$ is constructed. These polynomials depend on $g$ integer-valued and $g$ continuous parameters. The classical Chebyshëv polynomials are obtained for $g=0$ and the Zolotarëv polynomials for $g=1$.
@article{SM_2002_193_12_a1,
author = {A. B. Bogatyrev},
title = {Effective approach to least deviation problems},
journal = {Sbornik. Mathematics},
pages = {1749--1769},
publisher = {mathdoc},
volume = {193},
number = {12},
year = {2002},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_2002_193_12_a1/}
}
A. B. Bogatyrev. Effective approach to least deviation problems. Sbornik. Mathematics, Tome 193 (2002) no. 12, pp. 1749-1769. http://geodesic.mathdoc.fr/item/SM_2002_193_12_a1/