Results 11 to 20 of about 452,873 (269)

Almost Sure Uniform Convergence of Stochastic Processes in the Dual of a Nuclear Space

open access: yesJournal of Theoretical Probability, 2023
Let $Φ$ be a nuclear space and let $Φ'$ denote its strong dual. In this paper we introduce sufficient conditions for the almost surely uniform convergence on bounded intervals of time for a sequence of $Φ'$-valued processes having continuous (respectively càdlàg) paths. The main result is formulated first in the general setting of cylindrical processes
Christian Fonseca Mora
openaire   +5 more sources

Failure of almost uniform convergence for noncommutative martingales

open access: yesProbability Theory and Related Fields
7 pages, final version incorporating referees' comments, to appear in Probability Theory and Related ...
Hong, Guixiang, Ricard, Éric
openaire   +5 more sources

Uniform Consistency for Functional Conditional U-Statistics Using Delta-Sequences

open access: yesMathematics, 2022
U-statistics are a fundamental class of statistics derived from modeling quantities of interest characterized by responses from multiple subjects. U-statistics make generalizations the empirical mean of a random variable X to the sum of all k-tuples of X
Salim Bouzebda, Amel Nezzal, Tarek Zari
doaj   +1 more source

Strong Uniform Consistency Rates of Conditional Density Estimation in the Single Functional Index Model for Functional Data Under Random Censorship

open access: yesRevstat Statistical Journal, 2022
The main objective of this paper is to investigate the estimation of conditional density function based on the single-index model in the censorship model when the sample is considered as an independent and identically distributed (i.i.d.) random ...
Nadia Kadiri   +2 more
doaj   +1 more source

Finite difference scheme for singularly perturbed reaction diffusion problem of partial delay differential equation with nonlocal boundary condition

open access: yesAdvances in Difference Equations, 2021
This paper investigates singularly perturbed parabolic partial differential equations with delay in space, and the right end plane is an integral boundary condition on a rectangular domain.
Sekar Elango   +6 more
doaj   +1 more source

The topology of almost uniform convergence [PDF]

open access: yesPacific Journal of Mathematics, 1959
set S into a locally convex linear topological space F. Then a subset U of &(S, F) has property β over a subset A of S if it satisfies the following condition: for some neighborhood V of 0 in F it is true that for each finite subset {f19 ° ,/fc} of %>*(S, F) ~ U there is a finite subset {xlf x2, , xn] of A and a finite set of positive numbers {alf a2, •
openaire   +3 more sources

On ergodic properties of convolution operators associated with compact quantum groups [PDF]

open access: yes, 2008
Recent results of M.Junge and Q.Xu on the ergodic properties of the averages of kernels in noncommutative L^p-spaces are applied to the analysis of the almost uniform convergence of operators induced by the convolutions on compact quantum groups.Comment:
Franz, Uwe, Skalski, Adam
core   +2 more sources

Uniformly Convergent Hybrid Numerical Method for Singularly Perturbed Delay Convection-Diffusion Problems

open access: yesInternational Journal of Differential Equations, 2021
This paper deals with numerical treatment of nonstationary singularly perturbed delay convection-diffusion problems. The solution of the considered problem exhibits boundary layer on the right side of the spatial domain.
Mesfin Mekuria Woldaregay   +1 more
doaj   +1 more source

Almost Uniform Convergence Versus Pointwise Convergence [PDF]

open access: yesProceedings of the American Mathematical Society, 1960
In many an example of a function space whose topology is the topology of almost uniform convergence it is observed that the same topology is obtained in a natural way by considering pointwise convergence of extensions of the functions on a larger domain [1; 2].
openaire   +1 more source

On strong form of Arzela convergence

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1997
We define some new type of convergence of nets of functions which is formulated in terms of open covers. It preserves continuity and under some assumptions implies (or coincides with) the Arzela quasi-uniform convergence.
Janina Ewert
doaj   +1 more source

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