Geodesic
Uniform approximation by polynomials on compacta of special form
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2012), pp. 47-51

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A lower estimate of the least deviations is obtained and polynomials of the best uniform approximation are found for some functions given on compact sets of the complex plane containing full preimages $Q^{-1}(v_{j})$ of several points $v_{j}\in\mathbb{C}$ for some polynomial $Q(z)$ of a complex variable. 
@article{VMUMM_2012_3_a9,
     author = {I. V. Beloshapka},
     title = {Uniform approximation by polynomials on compacta of special form},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {47--51},
     publisher = {mathdoc},
     number = {3},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2012_3_a9/}
}
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I. V. Beloshapka. Uniform approximation by polynomials on compacta of special form. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2012), pp. 47-51. http://geodesic.mathdoc.fr/item/VMUMM_2012_3_a9/