Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2024 17 (1)
- Authors
- Rybakova, Natalia N.
- Contact information
- Rybakova, Natalia N.: Siberian Federal University Krasnoyarsk, Russian Federation;
- Keywords
- Chebyshev polynomials; polynomials least deviating from zero; zero set; polynomials with real coefficients
- Abstract
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
- Pages
- 18–26
- EDN
- BXZVAF
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/152466
Journal of Siberian Federal University. Mathematics & Physics / Chebyshev Polynomials with Zeros outside the Open Arc Segment
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