Results 61 to 70 of about 32,897 (198)
Uniqueness of Solutions to a Nonlinear Elliptic Hessian Equation
Through an Alexandrov-Fenchel inequality, we establish the general Brunn-Minkowski inequality. Then we obtain the uniqueness of solutions to a nonlinear elliptic Hessian equation on Sn.
Siyuan Li
doaj +1 more source
Equality in Borell-Brascamp-Lieb inequalities on curved spaces
By using optimal mass transportation and a quantitative H\"older inequality, we provide estimates for the Borell-Brascamp-Lieb deficit on complete Riemannian manifolds.
Balogh, Zoltán M., Kristály, Alexandru
core +1 more source
ABSTRACT This paper focuses on state estimation for a fairly general class of systems, involving nonlinear functions and disturbances in both the process dynamics and output equations. A nonlinear observer that satisfies a H∞$$ {\boldsymbol{H}}_{\boldsymbol{\infty}} $$ disturbance attenuation constraint in addition to providing asymptotic stability in ...
Hamidreza Movahedi +2 more
wiley +1 more source
On The Reverse Minkowski’s Integral Inequality
The aim of this work is to obtain the reverse Minkowski integral inequality. For this aim, we first give a proposition which is important for our main results. Then we establish some reverse Minkowski integral inequalities for parameters 0 < p < 1 and p < 0, respectively.
openaire +2 more sources
In‐and‐Out: Algorithmic Diffusion for Sampling Convex Bodies
ABSTRACT We present a new random walk for uniformly sampling high‐dimensional convex bodies. It achieves state‐of‐the‐art runtime complexity with stronger guarantees on the output than previously known, namely in Rényi divergence (which implies TV, 𝒲2, KL, χ2$$ {\chi}^2 $$).
Yunbum Kook +2 more
wiley +1 more source
The Brunn-Minkowski inequality [PDF]
This is a basic and high quality survey on the subject related to the isoperimetric inequality. As the author writes: ``This guide explains the relationship between Brunn-Minkowski inequality (B-M-I) and other inequalities in geometry and analysis, and some applications.'' This work can be considered as the up-to-date version of the excellent survey ...
openaire +2 more sources
Some new refinements of the Young, Hölder, and Minkowski inequalities
We prove and discuss some new refined Hölder inequalities for any p > 1 $p>1$ and also a reversed version for 0 < p < 1 $0 ...
Ludmila Nikolova +2 more
doaj +1 more source
Tensor Changepoint Detection and Eigenbootstrap
ABSTRACT Tensor data consisting of multivariate outcomes over the items and across the subjects with longitudinal and cross‐sectional dependence are considered. A completely distribution‐free and tweaking‐parameter‐free detection procedure for changepoints at different locations is designed, which does not require training data.
Michal Pešta +2 more
wiley +1 more source
On Hölder and Minkowski Type Inequalities
We obtain inequalities of Hölder and Minkowski type with weights generalizing both the case of weights with alternating signs and the classical case of nonnegative weights.
Petr Chunaev +2 more
openaire +6 more sources
The General Minkowski Inequality for Mixed Volume
Mixed volume is an important notion in convex geometry, which is the extension of volume and surface area. The Minkowski inequality for mixed volume plays a vital role in convex geometry.
Yusha Lv
doaj +1 more source

