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Volume 7, Issue 1, Article 25 |
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Zero and Coefficient Inequalities for Hyperbolic Polynomials
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Authors: |
J. Rubió-Massegú, José Luis Díaz-Barrero, P. Rubió-Díaz, |
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Keywords:
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Zeroes and coefficients, Inequalities in the complex plane, Inequalities for polynomials with real zeros, Hyperbolic polynomials. |
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Date Received:
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26/05/05 |
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Date Accepted:
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09/12/05 |
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Subject Codes: |
12D10, 26C10, 26D15.
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Editors: |
Sever S. Dragomir, |
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Abstract: |
In this paper using classical inequalities and Cardan-Viète formulae some inequalities involving zeroes and coefficients of hyperbolic polynomials are given. Furthermore, considering real polynomials whose zeros lie in Re(z)>0, the previous results have been extended and new inequalities are obtained.
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