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Inégalités sur la mesure de Mahler d'un polynôme

V. Flammang (1997)

Journal de théorie des nombres de Bordeaux

Dans cet article, nous donnons une minoration de la mesure de Mahler d'un polynôme à coefficients entiers, dont toutes les racines sont d'une part réelles positives, d'autre part réelles, en fonction de la valeur de ce polynôme en zéro. Ces minorations améliorent des résultats antérieurs de A. Schinzel. Par ailleurs, nous en déduisons des inégalités de M.-J. Bertin, liant la mesure d'un nombre algébrique à sa norme.

Jensen's Inequality for Polynomials with Concentration at Low Degrees.

Bernard Beauzamy (1986)

Numerische Mathematik

Lₚ-deviations from zero of polynomials with integral coefficients

Francisco Luquin (1995)

Acta Arithmetica

New inequalities on polynomial divisors.

Panaitopol, Laurenţiu, Ştefănescu, Doru (2004)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

New results in extremal problems with polynomials.

Acu, Ana Maria (2004)

General Mathematics

Note on the local growth of iterated polynomials.

John W. Layman, Bruce Landman (1984)

Aequationes mathematicae

O reálných polynomech 4. stupně

Jan Mařík (1965)

Časopis pro pěstování matematiky

On A Fourth Order Wronskian Associated With Classical Orthogonal Polynomials

Mrinal Kanti Das (1975)

Publications de l'Institut Mathématique

On a fourth order Wronskian associated with classical orthogonal polynomials.

M.K. Das (1974)

Publications de l'Institut Mathématique [Elektronische Ressource]

On polynomials of Sheffer type arising from a Cauchy problem.

Meredith, D.G. (2003)

International Journal of Mathematics and Mathematical Sciences

On some properties of Hamel bases connected with the continuity of polynomial functions.

Zbigniew Gajda (1984)

Aequationes mathematicae

On stability and the Łojasiewicz exponent at infinity of coercive polynomials

Tomáš Bajbar, Sönke Behrends (2019)

Kybernetika

In this article we analyze the relationship between the growth and stability properties of coercive polynomials. For coercive polynomials we introduce the degree of stable coercivity which measures how stable the coercivity is with respect to small perturbations by other polynomials. We link the degree of stable coercivity to the Łojasiewicz exponent at infinity and we show an explicit relation between them.

Currently displaying 21 – 40 of 50

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Displaying 21 – 40 of 50

Inégalités sur la mesure de Mahler d'un polynôme

Jensen's Inequality for Polynomials with Concentration at Low Degrees.

Lₚ-deviations from zero of polynomials with integral coefficients

New inequalities on polynomial divisors.

New results in extremal problems with polynomials.

Note on the local growth of iterated polynomials.

O reálných polynomech 4. stupně

On A Fourth Order Wronskian Associated With Classical Orthogonal Polynomials

On a fourth order Wronskian associated with classical orthogonal polynomials.

On polynomials of Sheffer type arising from a Cauchy problem.

On some properties of Hamel bases connected with the continuity of polynomial functions.

On stability and the Łojasiewicz exponent at infinity of coercive polynomials

On the derivative and maximum modulus of a polynomial.

On the Irreducibility of Polynomials Taking Small Values.

On the Sharpness of Theorems Concerning Zero-Free Regions for Certain Sequences of Polynomials.

On tolerance analysis

Polynomial inequalities on general subsets of $R^{N}$

Polynomial interpolation and asymptotic representations for zeta functions [Book]

Reconnaître si un polynôme à plusieurs variables peut être décomposé en facteurs entiers

Reverse Markov inequality.

Currently displaying 21 – 40 of 50