Uniform Continuity and a New Bornology for a Metric Space
Sign Up to like & getrecommendations! Published in 2018 at "Set-Valued and Variational Analysis"
DOI: 10.1007/s11228-017-0429-4
Abstract: In the context of functions between metric spaces, continuity is preserved by uniform convergence on the bornology of relatively compact subsets while Cauchy continuity is preserved under uniform convergence on the bornology of totally bounded… read more here.
Keywords: uniform convergence; space; uniform continuity; continuity ... See more keywords
Weighted Uniform Convergence of Entire Grünwald Operators on the Real Line
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DOI: 10.1007/s40315-021-00408-2
Abstract: We consider weighted uniform convergence of entire analogues of the Grunwald operator on the real line. The main result deals with convergence of entire interpolations of exponential type $\tau>0$ at zeros of Bessel functions in… read more here.
Keywords: convergence; uniform convergence; real line; convergence entire ... See more keywords
Uniform convergence of proliferating particles to the FKPP equation
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.12.013
Abstract: In this paper we consider a system of Brownian particles with proliferation whose rate depends on the empirical measure. The dependence is more local than a mean field one and has been called moderate interaction… read more here.
Keywords: proliferating particles; uniform convergence; convergence proliferating; equation ... See more keywords
Uniform convergence rates and automatic variable selection in nonparametric regression with functional and categorical covariates
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Nonparametric Statistics"
DOI: 10.1080/10485252.2023.2207673
Abstract: In Selk and Gertheiss (2022) a nonparametric prediction method for models with multiple functional and categorical covariates is introduced. The dependent variable can be categorical (binary or multi-class) or continuous, thus both classification and regression… read more here.
Keywords: regression; convergence rates; uniform convergence; categorical covariates ... See more keywords
A characterization of the uniform convergence points set of some convergent sequence of functions
Sign Up to like & getrecommendations! Published in 2020 at "Mathematica Slovaca"
DOI: 10.1515/ms-2017-0478
Abstract: Abstract We characterize the uniform convergence points set of a pointwisely convergent sequence of real-valued functions defined on a perfectly normal space. We prove that if X is a perfectly normal space which can be… read more here.
Keywords: uniform convergence; convergent sequence; points set; sequence ... See more keywords