Results 21 to 30 of about 64,214 (233)

Convexity, Markov Operators, Approximation, and Related Optimization

open access: yesMathematics, 2022
The present review paper provides recent results on convexity and its applications to the constrained extension of linear operators, motivated by the existence of subgradients of continuous convex operators, the Markov moment problem and related Markov ...
Octav Olteanu
doaj   +1 more source

On Markov Moment Problem, Polynomial Approximation on Unbounded Subsets, and Mazur–Orlicz Theorem [PDF]

open access: yesSymmetry, 2021
We review earlier and recent results on the Markov moment problem and related polynomial approximation on unbounded subsets. Such results allow proving the existence and uniqueness of the solutions for some Markov moment problems. This is the first aim of the paper.
openaire   +1 more source

Extremal balleans

open access: yesApplied General Topology, 2019
A ballean (or coarse space) is a set endowed with a coarse structure. A ballean X is called normal if any two asymptotically disjoint subsets of X are asymptotically separated.
Igor Protasov
doaj   +1 more source

Three Representations for Set Partitions

open access: yesIEEE Access, 2021
The Set Partitioning Problem (SPP) aims to obtain non-empty disjoint subsets of objects such that their union equals the whole set of objects, and the partition meets some prespecified criteria.
Jose Torres-Jimenez   +4 more
doaj   +1 more source

The structure of normal subsets of polyhedral cone

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2017
The structure of normal convex subsets of polyhedral cone K in normalized space is in investigated. The normality of the subset Ω ⊂ K (in the sense of the cone K) is determined by the condition Ω - K ∩K = Ω (a line over a set means taking a topological ...
T.Kh. Makazhanova   +2 more
doaj   +1 more source

Growth of Unbounded Subsets in Nilpotent Groups, Random Mapping Statistics and Geometry of Group Laws

open access: yesInternational Mathematics Research Notices, 2022
AbstractFor a group $G$ let $\gamma ^{\max }_G(n)$ denote the maximum number of length-$n$ words over an arbitrary $n$-letter subset of $G$. If $G$ is finitely generated and residually finite, then either $\gamma ^{\max }_G(n)$ is exponentially bounded, if and only if $G$ is virtually abelian, or $\gamma ^{\max }_G(n)\geq ~\left (e^{-\frac {1}{4}}+o(1)\
Be’eri Greenfeld, Hagai Lavner
openaire   +1 more source

Frames of multi-windowed exponentials on subsets of ${\mathbb R}^d$ [PDF]

open access: yes, 2013
Given discrete subsets $\Lambda_j\subset {\Bbb R}^d$, $j=1,...,q$, consider the set of windowed exponentials $\bigcup_{j=1}^{q}\{g_j(x)e^{2\pi i }: \lambda\in\Lambda_j\}$ on $L^2(\Omega)$. We show that a necessary and sufficient condition for the windows
Gabardo, Jean-Pierre, Lai, Chun-Kit
core   +1 more source

On Hahn-Banach theorem and some of its applications

open access: yesOpen Mathematics, 2022
First, this work provides an overview of some of the Hahn-Banach type theorems. Of note, some of these extension results for linear operators found recent applications to isotonicity of convex operators on a convex cone.
Olteanu Octav
doaj   +1 more source

Mixed-integer convex representability [PDF]

open access: yes, 2019
Motivated by recent advances in solution methods for mixed-integer convex optimization (MICP), we study the fundamental and open question of which sets can be represented exactly as feasible regions of MICP problems.
Lubin, Miles   +2 more
core   +2 more sources

Asymptotic behavior of non-autonomous fractional p-Laplacian equations driven by additive noise on unbounded domains

open access: yesBulletin of Mathematical Sciences, 2021
This paper deals with the asymptotic behavior of solutions to non-autonomous, fractional, stochastic p-Laplacian equations driven by additive white noise and random terms defined on the unbounded domain ℝN.
Renhai Wang, Bixiang Wang
doaj   +1 more source

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