Skip to main content
Log in

Bounds for the zeros of polynomials

  • Published:
Analysis in Theory and Applications

Abstract

Let\(P(z) = \sum\limits_{j = 0}^n {a_j z^j } \) be a polynomial of degree n. In this paper we prove a more general result which interalia improves upon the bounds of a class of polynomials. We also prove a result which includes some extensions and generalizations of Eneström-Kakeya theorem.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Cauchy, A.L., Exercises de Mathematique, In: Cuvres, 9:2(1829), 122.

  2. Dewan, K.K., On the Location of Zeros of Polynomials, Mathematics Student, 50(1982), 170–175.

    MathSciNet  Google Scholar 

  3. Govil, N,K. and Jain, V.K., On the Enström-Kakey Theorem II, J. Approx. Theory. 22 (1978), 1–10.

    Article  MATH  MathSciNet  Google Scholar 

  4. Govil, N, K and Rahman, Q.I., On the Eneström-Kekeya Theorem, Tohokv Math. J., 20(1968), 126–136.

    Article  MATH  MathSciNet  Google Scholar 

  5. Govil, N.K., Rahman, Q.I., and Schmesser, G., On the Derivative of a Polynomial, Illinois. Math. Joxs, 23(1979), 319–329.

    Google Scholar 

  6. Joyal, A., Labelle, G., and I-Rahman, Q., On the Location of Zeros of Polynomials, Canad. Math. Bull., 10(1967), 53–63.

    MATH  MathSciNet  Google Scholar 

  7. Mardon, M., Geometry of Polynomials, 2nd ed. Mathematical Survey's No. 3, Amer. Math. Soc., Providence, RI, 1966.

    Google Scholar 

  8. Milovanovic, G.V., Mitrinovic, D.S., and Rassias, Th. M., Topics in Polynomial Extremal Problems, Inequalities, Zeros.

  9. Mohammad, Q.G., On the Zeros of Polynomials, Amer. Math. Monthly., 72(1965), 631–633.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shah, W.M., Liman, A. Bounds for the zeros of polynomials. Anal. Theory Appl. 20, 16–27 (2004). https://doi.org/10.1007/BF02835255

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02835255

Key words

AMS (2000)subject classification

Navigation