Results 91 to 100 of about 1,075 (214)
International Journal of Robust and Nonlinear Control, Volume 36, Issue 7, Page 3896-3913, 10 May 2026.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
SOME NEW BRUNN-MINKOWSKI-TYPE INEQUALITIES IN CONVEX BODIES [PDF]
, 2020 We establish some analogues of the Brunn-Minkowski inequalities on convex bodies and the Minkowski inequality and their inverse versions.
AND LOKENATH DEBNATH Leng Gangsong +1 more
core
The curvature entropy inequalities of convex bodies
Open MathematicsThere are many entropy inequalities in geometry, some of them can be seen as the Minkowski inequalities in the form of entropy, which play important roles in convex geometry.
Zhang Deyan
doaj +1 more source
New inequalities for star bodies
Journal of Inequalities and Applications, 2016 In this paper, we investigate the radial addition and Blaschke addition and get some new Brunn-Minkowski inequalities associated with dual quermassintegrals and chord integral for star bodies.
Yanxiong Yan, Liangcai Zhang, Min Zhou
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In‐and‐Out: Algorithmic Diffusion for Sampling Convex Bodies
Random Structures &Algorithms, Volume 68, Issue 3, May 2026.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
Generalized Norms Inequalities for Absolute Value Operators
International Journal of Analysis and Applications, 2014 In this article, we generalize some norms inequalities for sums, differences, and products of absolute value operators. Our results based on Minkowski type inequalities and generalized forms of the Cauchy-Schwarz inequality.
Ilyas Ali, Hu Yang, Abdul Shakoor
doaj +2 more sources
Minkowski Inequalities and non-isolated hypersurface singularities [PDF]
We derive a number of inequalities involving L\^e numbers of non-isolated hypersurface singularities. In particular, we derive L\^e-Iomdine formulas with inequalities and use these, together with Teissier's Minkowski inequalities for sectional Milnor ...
Massey, David B.
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On Multiple $L_p$-curvilinear-Brunn-Minkowski inequalities [PDF]
, 2022 We construct the extension of the curvilinear summation for bounded Borel measurable sets to the $L_p$ space for multiple power parameter $\bar{\alpha}=(\alpha_1, \cdots, \alpha_{n+1})$ when $p>0$. Based on this $L_{p,\bar{\alpha}}$-curvilinear summation
Xing, Sudan, Roysdon, Michael
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q-Non uniform difference calculus and classical integral inequalities
Journal of Inequalities and Applications, 2019 We first establish q-non uniform difference versions of the integral inequalities of Hölder, Cauchy–Schwarz, and Minkowski of classical mathematical analysis and then integral inequalities of Grönwall and Bernoulli based on the Lagrange method of linear ...
Gaspard Bangerezako +2 more
doaj +1 more source
The Brunn–Minkowski inequality for volume differences
Advances in Applied Mathematics, 2004 Suppose that \(K\), \(L\), \(D\), \(D'\) are compact domains in \(\mathbb{R}^n\) such that \(D\) and \(D'\) are homothetic and convex and \(D\subset K\), \(D'\subset L\). It is proved (in a more general form) that for the volume \(V\) one has \[ ((V(K+ L)- V(D+ D'))^{1/n}\geq (V(K)- V(D))^{1/n}+ (V(L)- V(D'))^{1/n}.
openaire +2 more sources