Geodesic
A numerical experiment related to Zolotarev polynomials for weighted sup-norm
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 10, pp. 1790-1795 Cet article a éte moissonné depuis la source Math-Net.Ru

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The behavior of the graph of the function $Z_n(t)=\|Z'_n(\cdot,t)\|/\|Z_n(\cdot,t)\|$ is discussed in the case where the functions $Z_n(x,t)$ are the Zolotarev polynomials and the norm is a weighted sup-norm. Based on calculations performed for various weights, it is conjectured that the characteristic jump in $Z_n(t)$ in the case of the Laguerre weight on a semiaxis is caused by the fact that the weight function is not symmetric about the midpoint of the interval. 
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V. P. Sklyarov. A numerical experiment related to Zolotarev polynomials for weighted sup-norm. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 10, pp. 1790-1795. http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_10_a3/

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