Effective approach to least deviation problems
Андрей Борисович Богатырев · Sbornik Mathematics · 2002
A hierarchy of extremal polynomials described in terms of real hyper- elliptic curves of genus g 0 is constructed. These polynomials depend on g integer-valued and g continuous parameters. The classical Chebyshev polynomials are obtained for g =0 and the Zolotarpolynomials for g =1 . Bibliography: 17 titles.