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- Title
On Chebyshev polynomials on arcs of a circle.
- Authors
Tyshkevich, S.
- Abstract
The article focuses on the problems of finding a polynomial of degree n with a given leading coefficient and least deviating from zero with respect to the metrics. It cites the use of Chebyshev polynomials to study the properties of the transfinite diameter of the compactum and to estimate the optimal error of extrapolation from finitely many entire functions in the Wiener class. A polynomial least deviating from zero on arcs of the unit circle and has zeros on these arcs also examined.
- Subjects
POLYNOMIALS; CHEBYSHEV polynomials; DEVIATION (Statistics); CIRCLE; EXTRAPOLATION
- Publication
Mathematical Notes, 2007, Vol 81, Issue 5/6, p851
- ISSN
0001-4346
- Publication type
Article
- DOI
10.1134/S0001434607050331