Fonctions convexes et logarithmes de polynômes à coefficients positifs

Bernard Lacolle

Annales de la Faculté des sciences de Toulouse : Mathématiques (1994)

  • Volume: 3, Issue: 1, page 91-133
  • ISSN: 0240-2963

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Lacolle, Bernard. "Fonctions convexes et logarithmes de polynômes à coefficients positifs." Annales de la Faculté des sciences de Toulouse : Mathématiques 3.1 (1994): 91-133. <http://eudml.org/doc/73332>.

@article{Lacolle1994,
author = {Lacolle, Bernard},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {approximation; generalized polynomials; convex function; conjugate function; localization of the roots},
language = {fre},
number = {1},
pages = {91-133},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Fonctions convexes et logarithmes de polynômes à coefficients positifs},
url = {http://eudml.org/doc/73332},
volume = {3},
year = {1994},
}

TY - JOUR
AU - Lacolle, Bernard
TI - Fonctions convexes et logarithmes de polynômes à coefficients positifs
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1994
PB - UNIVERSITE PAUL SABATIER
VL - 3
IS - 1
SP - 91
EP - 133
LA - fre
KW - approximation; generalized polynomials; convex function; conjugate function; localization of the roots
UR - http://eudml.org/doc/73332
ER -

References

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  1. [1] Domb ( C.) et Green ( M.S.) .— Phase transitions and critical phenomena, Vol. 1, Academic Press, 1972. 
  2. [2] Israël ( R.B.) .— Convexity in the theory of lattice gases, Princeton Series in Physics, 1979. Zbl0399.46055MR517873
  3. [3] Lacolle ( B.) .— Sur certaines méthodes de calcul de la Physique Statistique, Thèse de Mathématiques, Université de Grenoble1984. 
  4. [4] Lacolle ( B.) .— Approximation d'une fonction convexe lipschitzienne et de ses singularités, M2AN, Vol. 19, 2 (1985). Zbl0581.65015MR802596
  5. [5] Laurent ( P.-J.) .— Approximation Optimisation, Hermann, 1972. Zbl0238.90058MR467080
  6. [6] Marden ( M.) .— The geometry of the zeros of a polynomial in a complex variable, Amer. Math. Soc., Mathematical Survey Number III (1949). Zbl0038.15303MR31114
  7. [7] Robert ( R.) .— Convergence de fonctionnelles convexes, J. Math. Anal. Appl.45 (1974), pp. 533-555. Zbl0299.46014MR352927
  8. [8] Rockafellar ( R.T.) .— Convex Analysis, Princetown University Press, New Jersey, 1970. Zbl0193.18401MR274683
  9. [9] Ruelle ( D.) .— Statistical Mechanics, The Mathematic Physics Monograph Series, 1969. Zbl0177.57301MR289084
  10. [10] Salinetti ( G.) et Wets ( R.J.-B.) .— On the relation between Two Types of Convergence for Convex Functions, J. Math. Anal. Appl.60 (1977), pp. 211-226. Zbl0359.54005MR479398

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