This is a preview of subscription content, log in via an institution to check access.
References
N. Anderson, E. B. Saff, and R. S. Varga, On the Eneström-Kakeya theorem and its sharpness,Linear Algebra and Its Applications,28 (1979), 5–16.
N. Anderson, E. B. Saff and R. S. Varga, An extension of the Eneström-Kakeya theorem and its sharpness,SIAM J. Math. Anal.,12 (1981), 10–22.
G. Eneström, Härledning af en allmän formel för antalet pensionärer…, Öfv. af. Kungl. Vetenskaps-Akademiens Förhandlingen, No. 6 (Stockholm, 1893).
K. K. Dewan and N. K. Govil, On the Eneström-Kakeya theorem,J. Approx. Theory,42 (1984), 239–244.
R. Gardner and N. K. Govil, On the location of the zeros of a polynomial,Journal of Approximation Theory,76 (1994), 286–292.
A. Joyal, G. Labelle, and Q. I. Rahman, On the location of zeros of polynomials,Canadian Math. Bull.,10 (1967), 55–63.
S. Kakeya, On the limits of the roots of an algebraic equation with positive coefficients,Tôhoku Math. J.,2 (1912–13), 140–142.
M. Kovačević and I. Milovanović, On a generalization of the Eneström-Kakeya Theorem,Pure Math. and Applic., Ser. A,3 (1992), 43–47.
M. Marden,Geometry of Polynomials, Amer. Math. Soc. Math. Surveys 3 (1966).
E. Titchmarsh,The Theory of Functions, Oxford University Press (Oxford, 1932).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Gardner, R.B., Govil, N.K. Some generalizations of the Eneström-Kakeya theorem. Acta Math Hung 74, 125–134 (1997). https://doi.org/10.1007/BF02697881
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02697881