Results 61 to 70 of about 675,466 (153)

Some improvements of Minkowski’s integral inequality on time scales

, 2013
In the paper, we establish some improvements of Minkowski’s inequality on time scales via the delta integral, nabla integral and diamond-α dynamic integral, which is defined as a linear combination of the delta and nabla integrals.MSC:26D15, 26E70.
Guangsheng Chen
semanticscholar   +1 more source

Validation of machine learning based scenario generators

Journal of Risk and Insurance, Volume 93, Issue 2, Page 508-533, June 2026.
Abstract Machine learning (ML) methods are becoming increasingly important for designing economic scenario generators for internal models. Validating data‐driven models requires different methods than validating classical, theory‐based models. We discuss two novel aspects of such validation: first, checking the multivariate distribution of risk factors,
Gero Junike, Solveig Flaig, Ralf Werner
wiley   +1 more source

Boundary restricted Brunn–Minkowski inequalities

Communications in Contemporary Mathematics, 2023
In this paper, we explore questions regarding the Minkowski sum of the boundaries of convex sets. Motivated by a question suggested to us by V. Milman regarding the volume of [Formula: see text] where [Formula: see text] and [Formula: see text] are convex bodies, we prove sharp volumetric lower bounds for the Minkowski average of the boundaries of ...
Artstein-Avidan, Shiri, Falah, Tomer, Slomka, Boaz A.   +2 more
openaire   +3 more sources

Selective Convergence of Followers to Multiple Leaders With Repulsion and Cohesion on Riemannian Manifolds

Studies in Applied Mathematics, Volume 156, Issue 6, June 2026.
ABSTRACT We study the long‐term dynamics of followers that selectively follow one of multiple leaders on Riemannian manifolds, where the leaders interact through repulsive forces while remaining cohesively bounded. We propose a multileader–follower multiagent system defined on Riemannian manifolds. In our model, each follower chooses exactly one leader
Hyunjin Ahn
wiley   +1 more source

An inequality for Minkowski matrices [PDF]

Proceedings of the American Mathematical Society, 1953
Introduction. The class of Minkowski matrices consists of square matrices of the form a -a, where a is the identity matrix and a, with real or complex elements, satisfies the condition (1). The inequality is given in the lemma, which improves the author's previous result [3, p. 239] by removing two restrictions.2 Refinements of the inequality are given
openaire   +1 more source

Sharp estimates for the Laplacian torsional rigidity with negative Robin boundary conditions

Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.
Abstract Motivated by pioneering works of Bandle and Wagner, given a bounded Lipschitz domain Ω⊂Rd$\Omega \subset \mathbb {R}^d$ with d⩾3$d\geqslant 3$, we consider the Robin–Laplacian torsional rigidity τα(Ω)$\tau _\alpha (\Omega)$ with negative boundary parameter α$\alpha$ and we show that sharp inequalities for τα(Ω)$\tau _\alpha (\Omega)$ hold if ...
Nunzia Gavitone, David Krejčiřík, Gloria Paoli   +2 more
wiley   +1 more source

Robustness of the Gaussian concentration inequality and the Brunn–Minkowski inequality [PDF]

Calculus of Variations and Partial Differential Equations, 2017
We provide a sharp quantitative version of the Gaussian concentration inequality: for every $r>0$, the difference between the measure of the $r$-enlargement of a given set and the $r$-enlargement of a half-space controls the square of the measure of the symmetric difference between the set and a suitable half-space.
Barchiesi Marco, Julin Vesa
openaire   +5 more sources

Comparative Analysis of the Performances of a Nonlinear Observer and Nonlinear Kalman Filters in the Presence of Non‐Gaussian Disturbances

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, Ali Zemouche, Rajesh Rajamani   +2 more
wiley   +1 more source

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, Santosh S. Vempala, Matthew S. Zhang   +2 more
wiley   +1 more source

Generalizations of the Brunn–Minkowski inequality

Linear Algebra and its Applications, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source