Results 11 to 20 of about 813 (131)
Lp‐Curvature Measures and Lp,q‐Mixed Volumes
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 Motivated by Lutwak et al.’s Lp‐dual curvature measures, we introduce the concept of Lp‐curvature measures. This new Lp‐curvature measure is an extension of the classical surface area measure, Lp‐surface area measure, and curvature measure. In this paper, we first prove some properties of the Lp‐curvature measure.
Tongyi Ma, Raúl E. Curto
wiley +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
core
An Expository Lecture of María Jesús Chasco on Some Applications of Fubini’s Theorem
Axioms, 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
Journal 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
The Dual Orlicz–Aleksandrov–Fenchel Inequality
Mathematics, 2020 In this paper, the classical dual mixed volume of star bodies V˜(K1,⋯,Kn) and dual Aleksandrov–Fenchel inequality are extended to the Orlicz space. Under the framework of dual Orlicz-Brunn-Minkowski theory, we put forward a new affine geometric quantity ...
Chang-Jian Zhao
doaj +1 more source
Orlicz Mean Dual Affine Quermassintegrals
Journal of Function Spaces, 2018 Our main aim is to generalize the mean dual affine quermassintegrals to the Orlicz space. Under the framework of dual Orlicz-Brunn-Minkowski theory, we introduce a new affine geometric quantity by calculating the first Orlicz variation of the mean dual ...
Chang-Jian Zhao, Wing-Sum Cheung
doaj +1 more source
Some inequalities for star duality of the radial Blaschke-Minkowski homomorphisms
Open Mathematics, 2020 In 2006, Schuster introduced the radial Blaschke-Minkowski homomorphisms. In this article, associating with the star duality of star bodies and dual quermassintegrals, we establish Brunn-Minkowski inequalities and monotonic inequality for the radial ...
Zhao Xia, Wang Weidong, Lin Youjiang
doaj +1 more source
Sharp $L^1$ Inequalities for Sup-Convolution
Discrete Analysis, 2023 Sharp $L^1$ Inequalities for Sup-Convolution, Discrete Analysis 2023:7, 16 pp. Let $f$ and $g$ be two real-valued functions defined on a compact convex subset $C$ of $\mathbb R^k$.
Hunter Spink +2 more
doaj +1 more source
The Brunn–Minkowski Inequality, Minkowski's First Inequality, and Their Duals
, 2000 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 ...
Gardner, R.J., Vassallo, S.
core +2 more sources
Orlicz-Aleksandrov-Fenchel Inequality for Orlicz Multiple Mixed Volumes
Journal of Function Spaces, 2018 Our main aim is to generalize the classical mixed volume V(K1,…,Kn) and Aleksandrov-Fenchel inequality to the Orlicz space. In the framework of Orlicz-Brunn-Minkowski theory, we introduce a new affine geometric quantity by calculating the Orlicz first ...
Chang-Jian Zhao
doaj +1 more source