Integral Mean Estimates for Polynomials Whose Zeros are within a Circle

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DOI: 10.4236/am.2011.21016    4,674 Downloads   8,818 Views  Citations

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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.

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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.

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