Further inequalities for the (generalized) Wills functional
DOI10.1142/S021919972050011XzbMath1457.52003arXiv1912.07993OpenAlexW3105592140MaRDI QIDQ5152073
María A. Hernández Cifre, Jesús Yepes Nicolás, David Alonso-Gutiérrez
Publication date: 18 February 2021
Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1912.07993
log-concave functionsprojection functionintrinsic volumesWills functionalBrunn-Minkowski-type inequalitiesJohn positionAsplund productMcMullen's inequalityRogers-Shephard-type inequalities
Inequalities and extremum problems involving convexity in convex geometry (52A40) Mixed volumes and related topics in convex geometry (52A39) Convexity of real functions of several variables, generalizations (26B25) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)
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Cites Work
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- Rogers-Shephard inequality for log-concave functions
- The Wills functional and Gaussian processes
- The Wills functional for Poisson processes
- On Godbersen's conjecture
- On the roots of generalized Wills \(\mu\)-polynomials
- Minkowski's successive minima and the zeros of a convexity-function
- Inequalities between intrinsic volumes
- On weighted parallel volumes
- Nullstellenverteilung zweier konvexgeometrischer Polynome. (Distribution of zeroes of two convexgeometrical polynomials.)
- Das Wills'sche Funktional
- Gitterpunktanzahl im Simplex und Wills'sche Vermutung
- Intrinsic volumes and lattice points of crosspolytopes
- The affine Sobolev inequality.
- On the roots of the Wills functional
- An extension of Berwald's inequality and its relation to Zhang's inequality
- On an exponential functional for Gaussian processes and its geometric foundations
- Rogers-Shephard and local Loomis-Whitney type inequalities
- Zur Gitterpunktanzahl konvexer Mengen
- Geometry of log-concave functions and measures
- Verallgemeinerung eines Mittelwertsatzes von J. Favard für positive konkave Funktionen
- Intrinsic volumes and Gaussian processes
- On a Linear Refinement of the Prékopa-Leindler Inequality
- Functional Inequalities related to the Rogers‐Shephard Inequality
- Non-linear angle-sum relations for polyhedral cones and polytopes
- The Brunn-Minkowski inequality
- Zhang’s Inequality for Log-Concave Functions
- Convex and Discrete Geometry
- Measure Theory
- Convex Bodies The Brunn-MinkowskiTheory
- The Santaló point of a function, and a functional form of the Santaló inequality
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