Zero and coefficient inequalities for hyperbolic polynomials
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 obta...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2006 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/24534 |
| Acceso en línea: | https://hdl.handle.net/2117/24534 |
| Access Level: | acceso abierto |
| Palabra clave: | Inequalities (Mathematics) Polynomials Zeroes and coefficients Inequalities in the complex plane Inequalities for polynomials with real zeros Hyperbolic polynomials Desigualtats (Matemàtica) Polinomis Classificació AMS::26 Real functions::26C Polynomials, rational functions Classificació AMS::26 Real functions::26D Inequalities Classificació AMS::12 Field theory and polynomials::12D Real and complex fields Àrees temàtiques de la UPC::Matemàtiques i estadística |
| Sumario: | 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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