논문KCI 등재
On the maximum and minimum modulus of polynomials on circles
대한수학회 (The Korean Mathematical Society)|2018.10|대한수학회논문집 (Communications of the KMS)|제33권 제4호|pp. 1303-1308
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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.
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.
참고문헌 (7)
- H. J. Fell, "On the zeros of convex combinations of polynomials", Pacific J. Math, 89(1), pp.43~50 (1980)
- N. K. Govil, "On the maximum modulus of polynomials", J. Math. Anal. Appl, 112(1), pp.253~258 (1985)
- S.-H. Kim, "Sums of two polynomials with each having real zeros symmetric with the other", Proc. Indian Acad. Sci. Math. Sci, 112(2), pp.283~288 (2002)
- 김선홍, "On difference quotients of Chebyshev polynomials", 대한수학회보, 53(2), pp.373~386 (2016), 대한수학회
- M. A. Qazi, "On the maximum modulus of polynomials", Proc. Amer. Math. Soc, 115(2), pp.337~343 (1992)
- Q. I. Rahman, "Analytic Theory of Polynomials" (2002), The Clarendon Press, Oxford University Press
- T. J. Rivlin, "On the maximum modulus of polynomials", Amer. Math. Monthly, 6, pp.251~253 (1960)
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