Integral Mean Estimates for Polynomials Whose Zeros are within a Circle ()
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.
Share and Cite:
Y. Paul, W. Shah and G. Singh, "Integral Mean Estimates for Polynomials Whose Zeros are within a Circle,"
Applied Mathematics, Vol. 2 No. 1, 2011, pp. 141-144. doi:
10.4236/am.2011.21016.
Conflicts of Interest
The authors declare no conflicts of interest.
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