Zobrazeno 1 - 10
of 75 442
pro vyhledávání: '"Uniform Convergence"'
Autor:
Kumar, Akshay
This article begins by deriving a measure-theoretic decomposition of continuous linear functionals on $C(X)$, the space of all real-valued continuous functions on a metric space $(X, d)$, equipped with the topology $\tau_\mathcal{B}$ of uniform conve
Externí odkaz:
http://arxiv.org/abs/2412.19277
This paper investigates the pathwise uniform convergence in probability of fully discrete finite-element approximations for the two-dimensional stochastic Navier-Stokes equations with multiplicative noise, subject to no-slip boundary conditions. Assu
Externí odkaz:
http://arxiv.org/abs/2412.04231
Autor:
Bishnoi, Chander Mohan, Mishra, Sanjay
In this paper, we investigate various cardinal properties of the space $Q_{C}X$ of all real-valued quasicontinuous functions on the topological space $X$, under the topology of uniform convergence on compact subsets. It begins by examining the relati
Externí odkaz:
http://arxiv.org/abs/2412.02209
Autor:
Ji, Shaolin, Zhu, Linlin
Nonparametric estimation of integrated diffusion processes has been thoroughly studied, primarily focusing on point-wise convergence. This paper firstly obtains the uniform convergence rates of the Nadaraya-Watson estimators for the coefficients of t
Externí odkaz:
http://arxiv.org/abs/2410.05822
Let $S_r(p,q)$ be the $r$-associated Stirling numbers of the second kind, the number of ways to partition a set of size $p$ into $q$ subsets of size at least $r$. For $r=1$, these are the standard Stirling numbers of the second kind, and for $r=2$, t
Externí odkaz:
http://arxiv.org/abs/2409.01489
Autor:
Li, Binjie, Zhou, Qin
This paper analyzes a full discretization of a three-dimensional stochastic Allen-Cahn equation with multiplicative noise. The discretization combines the Euler scheme for temporal approximation and the finite element method for spatial approximation
Externí odkaz:
http://arxiv.org/abs/2405.03016
Autor:
Agarwal, Yogesh, Jindal, Varun
For a metric space $(X,d)$, Beer, Naimpally, and Rodriguez-Lopez in ([17]) proposed a unified approach to explore set convergences via uniform convergence of distance functionals on members of an arbitrary family $\mathcal{S}$ of subsets of $X$. The
Externí odkaz:
http://arxiv.org/abs/2407.16408
We consider one dimensional isentropic compressible Navier-Stokes equations with Oldroyd-type constitutive law. By establishing uniform a priori estimates (with respect to re-laxation time), we show global existence of smooth solutions with small ini
Externí odkaz:
http://arxiv.org/abs/2406.14943