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Integral Mean Estimates for Polynomials Whose Zeros are within a Circle

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DOI: 10.4236/am.2011.21016    4,055 Downloads   7,644 Views   Citations

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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

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.

References

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