TITLE:
Integral Mean Estimates for Polynomials Whose Zeros are within a Circle
AUTHORS:
Yash Paul, Wali Mohammad Shah, Gulshan Singh
KEYWORDS:
Derivative of a Polynomial, Integral Mean Estimates, Complex Domain Inequalities
JOURNAL NAME:
Applied Mathematics,
Vol.2 No.1,
January
30,
2011
ABSTRACT: Let be a polynomial of degree n having all its zeros in , then for each , ,
with , Aziz and Ahemad (1996) proved that
In this paper, we extend the above inequality to the class of polynomials , having all its zeros in , and obtain a generalization as well as refinement of the above result.