Geodesic
Chebyshev polynomials with zeros outside the open arc segment
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 17 (2024) no. 1, pp. 18-26

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The problem of unitary polynomials of degree $n$ with real coefficients least deviating from zero on an arbitrary fixed arc of a circle with a zero set outside an open segment of the same arc is considered. The description of the extremal polynomials of the solution of this problem is given and their norm depending on the degree of the polynomial and the arc length is obtained.
Keywords: Chebyshev polynomials, polynomials least deviating from zero, zero set, polynomials with real coefficients. 
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     author = {Natalia N. Rybakova},
     title = {Chebyshev polynomials with zeros outside the open arc segment},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
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     year = {2024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2024_17_1_a2/}
}
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Natalia N. Rybakova. Chebyshev polynomials with zeros outside the open arc segment. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 17 (2024) no. 1, pp. 18-26. http://geodesic.mathdoc.fr/item/JSFU_2024_17_1_a2/