Geodesic
Zolotarev problem in the metric of $L_1([-1,1])$
Matematičeskie zametki, Tome 17 (1975) no. 1, pp. 13-20 
È. M. Galeev. Zolotarev problem in the metric of $L_1([-1,1])$. Matematičeskie zametki, Tome 17 (1975) no. 1, pp. 13-20. http://geodesic.mathdoc.fr/item/MZM_1975_17_1_a1/
@article{MZM_1975_17_1_a1,
     author = {\`E. M. Galeev},
     title = {Zolotarev problem in the metric of $L_1([-1,1])$},
     journal = {Matemati\v{c}eskie zametki},
     pages = {13--20},
     year = {1975},
     volume = {17},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1975_17_1_a1/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper we solve the problem of the determination of a polynomial of degree n with given two leading coefficients which has the least deviation from zero in the metric of $L_1([-1,1])$. The extremal polynomial is expressed in the form of some linear combination of Chebyshev polynomials of the second kind.