Results 121 to 130 of about 6,536,345 (211)
On an approximation operator and its Lipschitz constant [PDF]
, 2002 In this note we consider an approximation operator of Kantorovich type in which expression appears a basic sequence for a delta operator and a Sheffer sequence for the same delta operator.
Maria Crăciun
core
Singular Integral Operator Involving Higher Order Lipschitz Classes
, 2017 In this paper, we investigate a singular integral operator with polyanalytic Cauchy kernel. In particular, we will prove that the higher order Lipschitz classes (of order ) behave invariant under the action of that ...
Lianet De la Cruz-Toranzo +5 more
core +1 more source
A Splitting Architecture for Exact Reduced Coulomb Friction
Computer Graphics Forum, EarlyView.Abstract Existing approaches to frictional contact dynamics typically either modify the Coulomb law to improve numerical robustness or solve the exact law in a fully coupled monolithic form. However, in its reduced form, exact Coulomb friction can be written as a cone complementarity problem with an augmented velocity, which reveals a natural split ...
Hongcheng Song +3 more
wiley +1 more source
Trace Result for Sobolev Extension Domains
International Journal of Analysis and Applications, 2021 In this paper, we establish the existence and continuity of a trace operator for functions of the Sobolev space W1,p(Ω) with 1<p<∞ on the boundary of a domain Ω that has the Sobolev W1,p−extension property.
Djamel Ait-Akli, Abdelkader Merakeb
doaj
Weakly compact composition operators on spaces of Lipschitz functions [PDF]
Positivity, 2015 Let $X$ be a pointed compact metric space. Assuming that $\mathrm{lip}_0(X)$ has the uniform separation property, we prove that every weakly compact composition operator on spaces of Lipschitz functions $\mathrm{Lip}_0(X)$ and $\mathrm{lip}_0(X)$ is compact.
openaire +4 more sources
A Non‐Parametric Framework for Correlation Functions on Product Metric Spaces
International Statistical Review, EarlyView.Summary We propose a non‐parametric framework for analysing data defined over products of metric spaces, a versatile class encountered in various fields. This framework accommodates non‐stationarity and seasonality and is applicable to both local and global domains, such as the Earth's surface, as well as domains evolving over linear time or time ...
Pier Giovanni Bissiri +3 more
wiley +1 more source
A note on generalised information criteria for structured sparse models
International Statistical Review, EarlyView.Summary We propose a generalised information criteria ( gic) that accounts for sparsity pattern in the model. We obtain both asymptotic and nonasymptotic results for model selection. Moreover, we show that the gic is useful for selecting the regularisation parameter in regularised m$$ m $$ estimation in high‐dimensional scenarios.
Eduardo Fonseca Mendes +1 more
wiley +1 more source
Discrete Dynamics in Nature and SocietyThis article presents the numerical solutions of nonlinear stochastic It o^–Volterra integral equations by using the basis function method under the global Lipschitz condition.
Guo Jiang, Dan Chen, Fugang Liu
doaj +1 more source
Fairness‐aware insurance pricing: A multi‐objective optimization approach
Journal of Risk and Insurance, EarlyView.Abstract Machine‐learning models can provide accurate predictions in insurance pricing, but can also increase disparities between protected groups. Existing fairness‐aware pricing approaches typically target one fairness notion at a time, making it difficult to compare trade‐offs between predictive accuracy, group fairness, individual fairness, and ...
Tim J. Boonen, Xinyue Fan, Zixiao Quan
wiley +1 more source
, 2016 In this note, we consider poly-analytic Cauchy integral operators introduced in a rather natural way on the higher order Lipschitz classes. We prove some boundary properties of the function represented by such an integral operator in the general context ...
Ramírez , Yulieth +4 more
core +1 more source