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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.30 No.1

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Some Bounds for the Zeros of Polynomials

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / 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
Mohammad Ibrahim Mir
Vipin Kumar Tyagi
Mahnaz, S. C. , Mohammad, I. M. , & Vipin, K. T. (2023). Some Bounds for the Zeros of Polynomials. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 30(1), 35-42, https://doi.org/https://doi.org/10.7468/jksmeb.2023.30.1.35

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

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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