Results 81 to 90 of about 623,284 (221)
Benchmarking Contact Detection Algorithms Used in Polyhedral Particle System
International Journal for Numerical and Analytical Methods in Geomechanics, Volume 50, Issue 1, Page 53-64, January 2026.ABSTRACT A critical assessment of contact detection algorithms routinely used for simulating convex polyhedra in the Discrete Element Method is presented herein. Specifically, we focus on accuracy and computational efficiency and discuss the advantages and limitations of four different algorithms: the coupled Gilbert–Johnson–Keerthi – Expanding ...
Yuval Keissar +2 more
wiley +1 more source
THE INEQUALITIES OF HELDER AND MINKOVSKY AND THEIR GENERALIZATIONS
Фізико-математична освітаFormulation of the Problem. A large amount of mathematical literature is devoted to classical inequalities. Helder's inequalities, a special case of which is the Cauchy-Buniakovsky inequality, as well as Minkowski's, which is a polygon inequality in a ...
Yuriy Bokhonov
doaj +1 more source
Parameter Estimation in Nonlinear AR-GARCH Models [PDF]
This paper develops an asymptotic estimation theory for nonlinear autoregressive models with conditionally heteroskedastic errors. We consider a functional coefficient autoregression of order p (AR(p)) with the conditional variance specified as a general
Mika Meitz, Pentti Saikkonen
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Efficiency in Pure‐Exchange Economies With Risk‐Averse Monetary Utilities
Mathematical Finance, Volume 36, Issue 1, Page 99-117, January 2026.ABSTRACT We study Pareto efficiency in a pure‐exchange economy where agents' preferences are represented by risk‐averse monetary utilities. These coincide with law‐invariant monetary utilities, and they can be shown to correspond to the class of monotone, (quasi‐)concave, Schur concave, and translation‐invariant utility functionals. This covers a large
Mario Ghossoub, Michael B. Zhu
wiley +1 more source
On the Fourier transform of measures in Besov spaces
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract We prove quantitative estimates for the decay of the Fourier transform of the Riesz potential of measures that are in homogeneous Besov spaces of the negative exponent: ∥Iαμ̂∥Lp,∞⩽C∥μ∥Mb12supt>0td−β2∥pt*μ∥∞12,$$\begin{align*} \Vert \widehat{I_{\alpha }\mu }\Vert _{L^{p, \infty }} \leqslant C \Vert \mu \Vert _{M_b}^{\frac{1}{2}}{\left(\sup _{t ...
Riju Basak +2 more
wiley +1 more source
The Minkowski's inequality by means of a generalized fractional integral [PDF]
, 2017 J. Vanterler da C. Sousa +1 more
openalex +3 more sources
Nonlinear AnalysisThe main aim of this article is to design a novel framework to study a generalized fractional integral operator that unifies two existing fractional integral operators.
Supriya Kumar Paul +2 more
doaj +1 more source
Plank theorems and their applications: A survey
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract Plank problems concern the covering of convex bodies by planks in Euclidean space and are related to famous open problems in convex geometry. In this survey, we introduce plank problems and present surprising applications of plank theorems in various areas of mathematics.
William Verreault
wiley +1 more source
Novel notions of symmetric Hahn calculus and related inequalities
Journal of Inequalities and ApplicationsIn this manuscript, we demonstrate a graphical comparison analysis of the classical, quantum, and symmetric quantum derivatives for any continuous function, evaluated at z = 1 $\mathfrak{z}=1$ and q = 0.5 $\mathtt{q}=0.5$ .
Saad Ihsan Butt +4 more
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Minimal length product over homology bases of manifolds
, 2018 Minkowski's second theorem can be stated as an inequality for $n$-dimensional flat Finsler tori relating the volume and the minimal product of the lengths of closed geodesics which form a homology basis.
Balacheff, Florent +2 more
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