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On the maximum and minimum modulus of polynomials on circles

Authors
Chong, Han KyolKim, Seon-Hong
Issue Date
Oct-2018
Publisher
Korean Mathematical Society
Keywords
Chebyshev polynomials; difference quotients; Modulus; Polynomials
Citation
Communications of the Korean Mathematical Society, v.33, no.4, pp 1303 - 1308
Pages
6
Journal Title
Communications of the Korean Mathematical Society
Volume
33
Number
4
Start Page
1303
End Page
1308
URI
https://scholarworks.sookmyung.ac.kr/handle/2020.sw.sookmyung/1980
DOI
10.4134/CKMS.c170466
ISSN
1225-1763
2234-3024
Abstract
In this paper, we consider both maximum modulus and minimum modulus on a circle of some polynomials. These give rise to interesting examples that are about moduli of Chebyshev polynomials and certain sums of polynomials on a circle. Moreover, we obtain some root locations of difference quotients of Chebyshev polynomials. © 2018 Korean Mathematical Society.
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