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

ISSN : 1226-0657

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Vol.31 No.1

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Some Bounds for Zeros of a Polynomial with Restricted coefficients

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
2024, v.31 no.1, pp.49-56
https://doi.org/10.7468/jksmeb.2024.31.1.49
Mahnaz Shafi Chishti (Shobhit Institute of Engineering & Technology(Deemed to be University) Meerut)
Vipin Kumar Tyagi (Shobhit Institute of Engineering and Technology(Deemed to be University) Meerut)
Mohammad Ibrahim Mir (University of Kashmir)
Mahnaz, S. C. , Vipin, K. T. , & Mohammad, I. M. (2024). Some Bounds for Zeros of a Polynomial with Restricted coefficients. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 31(1), 49-56, https://doi.org/10.7468/jksmeb.2024.31.1.49

Abstract

For a Polynomial P(z)= SMALLSUM _{j=0}^{n} `a _{j} z ^{j} with a_j ≥ a_j−1, a_0 > 0 (j = 1, 2, ..., n), a classical result of Enestrom-Kakeya says that all the zeros of P(z) lie in |z| ≤ 1. This result was generalized by A. Joyal et al. [3] where they relaxed the non-negative condition on the coefficents. This result was further generalized by Dewan and Bidkham [9] by relaxing the monotonicity of the coefficients. In this paper, we use some techniques to obtain some more generalizations of the results [3], [8], [9].

keywords
bound, coefficient, polynomial, zeros.

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

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