Some Bounds for the Zeros of Polynomials

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081

2023, v.30 no.1, pp.35-42

https://doi.org/https://doi.org/10.7468/jksmeb.2023.30.1.35

Mahnaz Shafi Chishti (School of Basic and Applied Sciences, Shobhit Institute of Engineering and Technology (Deemed to be University) Meerut)
Mohammad Ibrahim Mir (Department of Mathematics, University of Kashmir, South Campus)
Vipin Kumar Tyagi (School of Basic and Applied Sciences, Shobhit Institute of Engineering and Technology (Deemed to be University) Meerut)

Mahnaz Shafi Chishti, Mohammad Ibrahim Mir, & Vipin Kumar Tyagi. (2023). SOME BOUNDS FOR THE ZEROS OF POLYNOMIALS. 한국수학교육학회지시리즈B:순수및응용수학, 30(1), 35-42, https://doi.org/https://doi.org/10.7468/jksmeb.2023.30.1.35

복사

Abstract

In this paper, we find a bound for all the zeros of a polynomial in terms of its coefficients similar to the bound given by Montel (1932) and Kuneyida (1916) as an improvement of Cauchy's classical theorem. In fact, we use a generalized version of Hölder's inequality for obtaining various interesting bounds for all the zeros of a polynomial as function of their coefficients.

keywords: polynomials, zeros, Holder's inequality, polygonal line

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논문 상세

Vol.30 No.1

SOME BOUNDS FOR THE ZEROS OF POLYNOMIALS

Some Bounds for the Zeros of Polynomials

Abstract

한국수학교육학회지시리즈B:순수및응용수학