On Enestrom – Kakeya Theorem
In this paper, we obtain some interesting Eneström-Kakeya type theorems concerning the location of zeros of polynomials. Our results extend and generalize Some well-known results by putting less restrictive conditions on coefficients of polynomials.
B.A. Zargar, P.G. Department of Mathematics, University of Kashmir, Srinagar, India
Aziz, A and Mohammad, Q.G., Zero Free Regions for polynomials and some Generalizations of Eneström-Kakeya Theorem(1984), Canad.Math.Bull. 27, 265-272.
Aziz, A and Zargar, B.A., Some Extensions of Eneström-Kakeya Theorem,(1996), Glasnick Matematicki31(51),239-244.
Aziz, A and Zargar, B.A., Some Refinements of Eneström- Kakey Theorem, (2007), Analysis in theory and Applications, 3,129-137.
Dewan, K.K and Govil, N.K., On the Eneström- Eneström-Kakeya Theorem, (1984), J.Approx. theory 42,239-244. http://dx.doi.org/10.1016/0021-9045(84)90041-8
G Govil, N.K., and Rahman, Q.I., On the Eneström-Kakeya Theorem (1968), Tohoku Math. j. 20,126-136. http://dx.doi.org/10.2748/tmj/1178243172
Marden, M., M., Geometry of polynomials,(1966) Math surveys No.3 Amer.Math.Soc..providence).
Milovanovic, G.V, Mitrinovic, D.S. and Rassias, Th.M., Topics in polynomials, Extremal polynomials,.Inequalities, zeros(1994), (Singapore, world scientific).
R Rahman, Q.I and Schmeisser, G., Analytic theory of polynomials (2002), Clarendon press-oxford.,