Results 91 to 100 of about 634,955 (209)

A direct proof of the Brunn-Minkowski inequality in Nilpotent Lie groups [PDF]

arXiv, 2019
The purpose of this work is to give a direct proof of the multiplicative Brunn-Minkowski inequality in nilpotent Lie groups based on Hadwiger-Ohmann's one of the classical Brunn-Minkowski inequality in Euclidean space.
arxiv  

On the stability of Brunn–Minkowski type inequalities

Journal of Functional Analysis, 2017
name ...
COLESANTI, ANDREA, Livshyts, Galyna V., Marsiglietti, Arnaud   +2 more
openaire   +5 more sources

Bounds on Fourier coefficients and global sup‐norms for Siegel cusp forms of degree 2

Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.
Abstract Let F$F$ be an L2$L^2$‐normalized Siegel cusp form for Sp4(Z)${\rm Sp}_4({\mathbb {Z}})$ of weight k$k$ that is a Hecke eigenform and not a Saito–Kurokawa lift. Assuming the generalized Riemann hypothesis, we prove that its Fourier coefficients satisfy the bound |a(F,S)|≪εk1/4+ε(4π)kΓ(k)c(S)−12det(S)k−12+ε$|a(F,S)| \ll _\epsilon \frac{k^{1/4 ...
Félicien Comtat, Jolanta Marzec‐Ballesteros, Abhishek Saha   +2 more
wiley   +1 more source

The Orlicz-Brunn-Minkowski theory: A general framework, additions, and inequalities [PDF]

arXiv, 2013
The Orlicz-Brunn-Minkowski theory, introduced by Lutwak, Yang, and Zhang, is a new extension of the classical Brunn-Minkowski theory. It represents a generalization of the $L_p$-Brunn-Minkowski theory, analogous to the way that Orlicz spaces generalize $L_p$ spaces.
arxiv  

Equivalence of the Hölder-Rogers and Minkowski Inequalities [PDF]

Mathematical Inequalities & Applications, 2001
It is well-known that the Holder-Rogers inequality implies the Minkowski inequality. Infantozzi [6] observed implicitely and Royden [15] proved explicitely that the reverse implication is also true ...
openaire   +3 more sources

On the stability of Brunn-Minkowski type inequalities [PDF]

arXiv, 2016
Log-Brunn-Minkowski inequality was conjectured by Bor\"oczky, Lutwak, Yang and Zhang \cite{BLYZ}, and it states that a certain strengthening of the classical Brunn-Minkowski inequality is admissible in the case of symmetric convex sets. It was recently shown by Nayar, Zvavitch, the second and the third authors \cite{LMNZ}, that Log-Brunn-Minkowski ...
arxiv  

A unified treatment for Lp Brunn-Minkowski type inequalities [PDF]

arXiv, 2016
A unified approach used to generalize classical Brunn-Minkowski type inequalities to Lp Brunn-Minkowski type inequalities, called the Lp transference principle, is refined in this paper. As illustrations of the effectiveness and practicability of this method, several new Lp Brunn-Minkowski type inequalities concerning the mixed volume, moment of ...
arxiv  

An Optimization Problem Related to Minkowski’s Successive Minima

Discrete & Computational Geometry, 2010
The purpose of this paper is to establish an inequality connecting the lattice point enumerator of a 0-symmetric convex body with its successive minima.
R. Malikiosis
semanticscholar   +1 more source

Horocyclic Brunn-Minkowski inequality

Advances in Mathematics
Given two non-empty subsets $A$ and $B$ of the hyperbolic plane $\mathbb{H}^2$, we define their horocyclic Minkowski sum with parameter $λ=1/2$ as the set $[A:B]_{1/2} \subseteq \mathbb{H}^2$ of all midpoints of horocycle curves connecting a point in $A$ with a point in $B$.
Assouline, Rotem, Klartag, Bo'az
openaire   +2 more sources

On Generalizations of Hölder's and Minkowski's Inequalities

, 2023
U.S. Kirmaci
openalex   +2 more sources