The Brunn-Minkowski inequality, Minkowski's first inequality and their duals

R. J. Gardner; Salvatore Flavio Vassallo

doi:10.1006/jmaa.2000.6774

The Brunn-Minkowski inequality, Minkowski's first inequality and their duals

R. J. Gardner, Salvatore Flavio Vassallo

Western Washington University

Risultato della ricerca: Contributo in rivista › Articolo in rivista › peer review

9 Citazioni (Scopus)

Abstract

Quantitative versions are given of the equivalence of the Brunn-Minkowski inequality and Minkowski's first inequality from the Brunn-Minkowski theory. Similar quantitative versions are obtained of the equivalence of the corresponding inequalities from Lutwak's dual Brunn-Minkowski theory. The main results are shown to be the best possible up to constant factors.

Lingua originale	English
pagine (da-a)	502-512
Numero di pagine	11
Rivista	Journal of Mathematical Analysis and Applications
DOI	https://doi.org/10.1006/jmaa.2000.6774
Stato di pubblicazione	Pubblicato - 2000

Keywords

Brunn-Minkowski inequality
Convex body
dual Brunn-Minkowski inequality
geometric tomography
star body

Accesso al documento

10.1006/jmaa.2000.6774

Altri file e collegamenti

Link a IRIS PubliCatt

Cita questo

@article{a7aa92e3bc4d42899f2ee4f9f85b14fb,

title = "The Brunn-Minkowski inequality, Minkowski's first inequality and their duals",

abstract = "Quantitative versions are given of the equivalence of the Brunn-Minkowski inequality and Minkowski's first inequality from the Brunn-Minkowski theory. Similar quantitative versions are obtained of the equivalence of the corresponding inequalities from Lutwak's dual Brunn-Minkowski theory. The main results are shown to be the best possible up to constant factors.",

keywords = "Brunn-Minkowski inequality, Convex body, dual Brunn-Minkowski inequality, geometric tomography, star body, Brunn-Minkowski inequality, Convex body, dual Brunn-Minkowski inequality, geometric tomography, star body",

author = "Gardner, {R. J.} and Vassallo, {Salvatore Flavio}",

year = "2000",

doi = "10.1006/jmaa.2000.6774",

language = "English",

pages = "502--512",

journal = "Journal of Mathematical Analysis and Applications",

issn = "0022-247X",

publisher = "Academic Press Inc.",

}

TY - JOUR

T1 - The Brunn-Minkowski inequality, Minkowski's first inequality and their duals

AU - Gardner, R. J.

AU - Vassallo, Salvatore Flavio

PY - 2000

Y1 - 2000

N2 - Quantitative versions are given of the equivalence of the Brunn-Minkowski inequality and Minkowski's first inequality from the Brunn-Minkowski theory. Similar quantitative versions are obtained of the equivalence of the corresponding inequalities from Lutwak's dual Brunn-Minkowski theory. The main results are shown to be the best possible up to constant factors.

AB - Quantitative versions are given of the equivalence of the Brunn-Minkowski inequality and Minkowski's first inequality from the Brunn-Minkowski theory. Similar quantitative versions are obtained of the equivalence of the corresponding inequalities from Lutwak's dual Brunn-Minkowski theory. The main results are shown to be the best possible up to constant factors.

KW - Brunn-Minkowski inequality

KW - Convex body

KW - dual Brunn-Minkowski inequality

KW - geometric tomography

KW - star body

KW - Brunn-Minkowski inequality

KW - Convex body

KW - dual Brunn-Minkowski inequality

KW - geometric tomography

KW - star body

UR - http://hdl.handle.net/10807/29401

U2 - 10.1006/jmaa.2000.6774

DO - 10.1006/jmaa.2000.6774

M3 - Article

SN - 0022-247X

SP - 502

EP - 512

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

ER -

The Brunn-Minkowski inequality, Minkowski's first inequality and their duals

Abstract

Keywords

Accesso al documento

Altri file e collegamenti

Fingerprint

Cita questo