Geodesic
On polynomials, the least deviating from zero in~$L[-1,1]$ metric, with five prescribed coefficients
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 12 (2009) no. 1, pp. 29-40.

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The properties of polynomials $R_{n+5}(x)$, the least deviating from zero in $L[-1,1]$ metric with five given leading coefficients, whose forms were calculated earlier, are studied. Theorems 1, 2 with Theorem A contain a final classification of polynomials $R_{n+5}(x)$, whose number of sign changes in $(-1,1)$ is exactly equal to $(n+1)$. 
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V. È. Gheit; V. V. Gheit. On polynomials, the least deviating from zero in~$L[-1,1]$ metric, with five prescribed coefficients. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 12 (2009) no. 1, pp. 29-40. http://geodesic.mathdoc.fr/item/SJVM_2009_12_1_a2/

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