The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)

Korean Society of Mathematical Education (한국수학교육학회)
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SOME BOUNDS FOR THE ZEROS OF POLYNOMIALS

  • 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)
  • Received : 2022.10.10
  • Accepted : 2023.01.10
  • Published : 2023.02.28
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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.

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Acknowledgement

Authors are highly thankful to the anonymous reviewers and the Editor for their constructive suggestions and for bringing the paper in the present form.

References

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