STEINER POLYNOMIALS VIA ULTRA-LOGCONCAVE SEQUENCES

DOI10.1142/S021919971250040XzbMath1262.52003arXiv1112.4741OpenAlexW2964258955MaRDI QIDQ4649522

Martin Henk, E. Saorín, María A. Hernández Cifre

Publication date: 22 November 2012

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.4741

zbMATH Keywords

convex bodiesquermassintegralsAleksandrov-Fenchel inequalitylocation of rootsSteiner polynomialstruncated binomial polynomialultra-logconcave sequences

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Mixed volumes and related topics in convex geometry (52A39) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (10)

On the roots of polynomials with log-convex coefficients ⋮ A characterization of dual quermassintegrals and the roots of dual Steiner polynomials ⋮ THE GREEN–OSHER INEQUALITY IN RELATIVE GEOMETRY ⋮ Volumes of subset Minkowski sums and the Lyusternik region ⋮ INEQUALITIES BETWEEN MIXED VOLUMES OF CONVEX BODIES: VOLUME BOUNDS FOR THE MINKOWSKI SUM ⋮ On the volume of the Minkowski sum of zonoids ⋮ On a reverse isoperimetric inequality for relative outer parallel bodies ⋮ On the (Dual) Blaschke diagram ⋮ Linearity of the volume. Looking for a characterization of sausages ⋮ On the roots of generalized Wills \(\mu\)-polynomials

Cites Work

• Unnamed Item
• On a problem of A. Eremenko
• On H. Weyl and J. Steiner polynomials
• Ultra logconcave sequences and negative dependence
• On the location of roots of Steiner polynomials
• Der Wertvorrat der gemischten Inhalte von zwei, drei und vier ebenen Eibereichen
• Beweis einer Vermutung von H. Minkowski
• Inequalities between mixed volumes of convex sets
• Convex and Discrete Geometry

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