Results 1 to 10 of about 3,973 (97)

On Minkowski's inequality and its application [PDF]

open access: yesJournal of Inequalities and Applications, 2011
In the paper, we first give an improvement of Minkowski integral inequality. As an application, we get new Brunn-Minkowski-type inequalities for dual mixed volumes.
Cheung Wing-Sum, Zhao Chang-Jian
doaj   +3 more sources

The Functional Orlicz Brunn-Minkowski Inequality for q-Capacity

open access: yesJournal of Function Spaces, 2020
In this paper, we establish functional forms of the Orlicz Brunn-Minkowski inequality and the Orlicz-Minkowski inequality for the electrostatic q-capacity, which generalize previous results by Zou and Xiong.
Wei Wang, Juan Li, Rigao He, Lijuan Liu
doaj   +2 more sources

On p-radial Blaschke and harmonic Blaschke additions [PDF]

open access: yesJournal of Inequalities and Applications, 2017
In the paper, we first improve the radial Blaschke and harmonic Blaschke additions and introduce the p-radial Blaschke and p-harmonic Blaschke additions.
Chang-Jian Zhao
doaj   +2 more sources

Lp-dual three mixed quermassintegrals

open access: yesAnalele 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

The dual Brunn–Minkowski inequality for log-volume of star bodies

open access: yesJournal of Inequalities and Applications, 2021
This paper aims to consider the dual Brunn–Minkowski inequality for log-volume of star bodies, and the equivalent Minkowski inequality for mixed log-volume.
Dandan Lai, Hailin Jin
doaj   +1 more source

A Curved Brunn-Minkowski Inequality for the Symmetric Group [PDF]

open access: yes, 2015
In this paper, we construct an injection $A \times B \rightarrow M \times M$ from the product of any two nonempty subsets of the symmetric group into the square of their midpoint set, where the metric is that corresponding to the conjugacy class of ...
Neeranartvong, Weerachai   +2 more
core   +3 more sources

Inequalities for pqth-dual mixed volumes

open access: yesAnalele 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

An Expository Lecture of María Jesús Chasco on Some Applications of Fubini’s Theorem

open access: yesAxioms, 2021
The usefulness of Fubini’s theorem as a measurement instrument is clearly understood from its multiple applications in Analysis, Convex Geometry, Statistics or Number Theory. This article is an expository paper based on a master class given by the second
Alberto Castejón   +3 more
doaj   +1 more source

Cyclic Brunn–Minkowski inequalities for general width and chord-integrals

open access: yesJournal of Inequalities and Applications, 2019
In this paper, we establish two cyclic Brunn–Minkowski inequalities for the general ith width-integrals and general ith chord-integrals, respectively. Our works bring the cyclic inequality and Brunn–Minkowski inequality together.
Linmei Yu, Yuanyuan Zhang, Weidong Wang
doaj   +1 more source

On the concavity of the arithmetic volumes [PDF]

open access: yes, 2014
In this note, we study the differentiability of the arithmetic volumes along arithmetic R-divisors, and give some equality conditions for the Brunn-Minkowski inequality for arithmetic volumes over the cone of nef and big arithmetic R-divisors.Comment: 35
Ikoma, Hideaki
core   +3 more sources

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