Results 21 to 30 of about 1,239,021 (236)

Lp-dual three mixed quermassintegrals

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021
In the paper, the concept of Lp-dual three-mixed quermassintegrals is introduced. The formula for the Lp-dual three-mixed quermassintegrals with respect to the p-radial addition is proved. Inequalities of Lp-Minkowski, and Brunn-Minkowski type for the Lp-
Zhao Chang-Jian, Bencze Mihály
doaj   +1 more source

Inequalities in Riemann–Lebesgue Integrability

Mathematics, 2023
In this paper, we prove some inequalities for Riemann–Lebesgue integrable functions when the considered integration is obtained via a non-additive measure, including the reverse Hölder inequality and the reverse Minkowski inequality.
Anca Croitoru, Alina Gavriluţ, Alina Iosif, Anna Rita Sambucini   +3 more
doaj   +1 more source

On Dual Brunn-Minkowski Inequalities [PDF]

Mathematical Inequalities & Applications, 2005
On dual Brunn-Minkowski ...
Zhao, Changjian, Pečarić, Josip, Leng, Gangsong   +2 more
openaire   +4 more sources

Minkowski’s inequality and sums of squares [PDF]

Open Mathematics, 2013
Abstract Positive polynomials arising from Muirhead’s inequality, from classical power mean and elementary symmetric mean inequalities and from Minkowski’s inequality can be rewritten as sums of squares.
Frenkel Péter, Horváth Péter
openaire   +4 more sources

Equivalence of the local and global versions of the L-Brunn-Minkowski inequality [PDF]

Journal of Functional Analysis, 2019
By studying $L^p$-combinations of strongly isomorphic polytopes, we prove the equivalence of the $L^p$-Brunn-Minkowski inequality conjectured by Boroczky, Lutwak, Yang and Zhang to the local version of the inequality studied by Colesanti, Livshyts, and ...
E. Putterman
semanticscholar   +1 more source

The L-Brunn-Minkowski inequality for p < 1

, 2020
In this paper, we confirm the L p -Brunn-Minkowski inequality conjecture for p close to 1. The logarithmic-Brunn-Minkowski inequality is also verified for convex bodies close to the unit ball in Hausdorff distance.
Shi-Bing Chen, Yong Huang, Qi-Rui Li, Jia-Kun Liu   +3 more
semanticscholar   +1 more source

Inequalities for pqth-dual mixed volumes

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023
In the paper, our main aim is to generalize the qth dual volume to Lp space, and introduce pqth-dual mixed volume by calculating the first order variation of qth dual volumes.
Zhao Chang-Jian, Bencze Mihály
doaj   +1 more source

A Note on Reverse Minkowski Inequality via Generalized Proportional Fractional Integral Operator with respect to Another Function

Mathematical Problems in Engineering, 2020
This study reveals new fractional behavior of Minkowski inequality and several other related generalizations in the frame of the newly proposed fractional operators.
S. Rashid, F. Jarad, Yu-Ming Chu
semanticscholar   +1 more source

Entropic and functional forms of the dimensional Brunn–Minkowski inequality in Gauss space [PDF]

Mathematische Annalen
Given even strongly log-concave random vectors X0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-
G. Aishwarya, Dong-Bin Li
semanticscholar   +1 more source

The Brunn-Minkowski inequality and the Heisenberg group [PDF]

, 2023
openThe core of this thesis is the Brunn-Minkowski inequality. We start proving the general version of the Brunn-Minkowski inequality in the Euclidean space, then we investigate the validity of a "geodesic" version of the Brunn-Minkowski inequality in ...
BENETTON, GIOELE
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