Add to ORKGThe main objective of this text is the study of the Descartes' rule of signs and the generalized Descartes' rule of signs. We also present an application of the generalized Descartes' rule of signs to orthogonal polynomials. For this last result are presented two proofs, one is due to Obrechko and another is due to Schoenberg. Finally, we present an application of the rule to the classical orthogonal polynomials of Jacobi and LaguerreO objetivo principal deste texto é o estudo da Regra de Sinais de Descartes e da Regra de Sinais de Descartes Generalizada. Apresentamos também uma aplicação da Regra de Sinais de Descartes Generalizada para polinômios Ortogonais. Para este último resultado são apresentadas duas demonstrações, uma é devido a Ob...
Este trabajo consiste en hacer un estudio de la teoría básica para comprender las tres primeras secc...
El presente trabajo inmerso en la teoría de polinomios ortogonales y soportado en el artículo [8] (...
AbstractIn this paper we give a new characterization of the classical orthogonal polynomials (Jacobi...
Descartes ’ Rule of Signs states that the number of positive roots of a polynomial p(x) with real co...
It may seem a funny notion to write about theorems as old and rehashed as Descartes’s rule of signs,...
What can we deduce about the roots of a real polynomial in one variable by simply considering the si...
International audienceWhat can we deduce about the roots of a real polynomial in one variable by onl...
International audienceWhat can we deduce about the roots of a real polynomial in one variable by onl...
Tese mest. , Matemática para o Ensino, 2007, Universidade do AlgarveFrom algebra we know that a poly...
Tese mest. , Matemática para o Ensino, 2007, Universidade do AlgarveFrom algebra we know that a poly...
We give a multivariate version of Descartes' rule of signs to bound the number of positive real root...
10 pagesWhat can we deduce about the roots of a real polynomial in one variable by simply considerin...
In this paper we obtain sharp limits for all the zeros of Jacobi polynomials. We employ Obrechkoff's...
W pracy zostały scharakteryzowane klasyczne rodziny wielomianów ortogonalnych tj. Jacobiego, Gegenba...
We give partial generalizations of the classical Descartes' rule of signs to multivariate polynomial...
Este trabajo consiste en hacer un estudio de la teoría básica para comprender las tres primeras secc...
El presente trabajo inmerso en la teoría de polinomios ortogonales y soportado en el artículo [8] (...
AbstractIn this paper we give a new characterization of the classical orthogonal polynomials (Jacobi...
Descartes ’ Rule of Signs states that the number of positive roots of a polynomial p(x) with real co...
It may seem a funny notion to write about theorems as old and rehashed as Descartes’s rule of signs,...
What can we deduce about the roots of a real polynomial in one variable by simply considering the si...
International audienceWhat can we deduce about the roots of a real polynomial in one variable by onl...
International audienceWhat can we deduce about the roots of a real polynomial in one variable by onl...
Tese mest. , Matemática para o Ensino, 2007, Universidade do AlgarveFrom algebra we know that a poly...
Tese mest. , Matemática para o Ensino, 2007, Universidade do AlgarveFrom algebra we know that a poly...
We give a multivariate version of Descartes' rule of signs to bound the number of positive real root...
10 pagesWhat can we deduce about the roots of a real polynomial in one variable by simply considerin...
In this paper we obtain sharp limits for all the zeros of Jacobi polynomials. We employ Obrechkoff's...
W pracy zostały scharakteryzowane klasyczne rodziny wielomianów ortogonalnych tj. Jacobiego, Gegenba...
We give partial generalizations of the classical Descartes' rule of signs to multivariate polynomial...
Este trabajo consiste en hacer un estudio de la teoría básica para comprender las tres primeras secc...
El presente trabajo inmerso en la teoría de polinomios ortogonales y soportado en el artículo [8] (...
AbstractIn this paper we give a new characterization of the classical orthogonal polynomials (Jacobi...