Geodesic
Uniform approximation of $sgn(x)$ by rational functions with prescribed poles
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 3 (2007) no. 1, pp. 95-108 
F. Peherstorfer; P. Yuditskii. Uniform approximation of $sgn(x)$ by rational functions with prescribed poles. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 3 (2007) no. 1, pp. 95-108. http://geodesic.mathdoc.fr/item/JMAG_2007_3_1_a5/
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[3] S. Bernstein, “Sur la meilleure approximation de $\vert x\vert$ par des polynomes des degrés donnés”, Acta Math., 27 (1914), 1–57 | DOI | MR

[4] S. Bernstein, “On the Best Approximation of $\vert x\vert^p$ by Polynomials of Very High Degree”, Izv. Akad. Nauk SSSR. Ser. Mat., 2 (1938), 169–180

[5] A. Eremenko, P. Yuditskii, “Uniform Approximation of sgn$(x)$ by Polynomials and Entire Functions”, J. Anal. Math. (to appear) | MR

[6] E. I. Zolotarev, Anwendung der elliptischen Funktionen auf Probleme "uber Funktionen, die von Null am wenigsten oder am meisten abweichen, Abh. St. Petersb., XXX, 1877 | Zbl