Results 31 to 40 of about 448 (58)

On an extension of the Stone-Weierstrass theorem [PDF]

, 2014
The classical Stone-Weierstrass Theorem has been generalized and extended in different directions. Theorem 1 of [2] (D. Hill, E. Passow, and L. Raymon, Approximation with interpolatory constraints, Illinois J. Math.
Kuppum V. Srikanth, Raj Bhawan Yadav
core   +1 more source

Simple Ensemble-Averaging Model Based on Generalized Regression Neural Network in Financial Forecasting Problems [PDF]

, 2000
Introduces an ensemble-averaging model based on a GRNN (generalized regression neural network) for financial forecasting. The model trains all input individually using GRNNs and uses a simple ensemble-averaging committee machine to improve the accuracy ...
Dagli, Cihan H., Disorntetiwat, Parinya
core   +1 more source

Bochner Partial Derivatives, Cheeger-Kleiner Differentiability, and Non-Embedding

, 2023
Among all Poincar\'e inequality spaces, we define the class of Cheeger fractals, which includes the sub-Riemannian Heisenberg group. We show that there is no bi-Lipschitz embedding $\iota$ of any Cheeger fractal $X$ into any Banach space $V$ with the ...
Wildrick, Kevin
core  

Geometric characterization of generalized Hajłasz-Sobolev embedding domains

Advances in Nonlinear Analysis
In this article, the authors study the embedding properties of Hajłasz-Sobolev spaces with generalized smoothness on Euclidean domains, whose regularity is described via a smoothness weight function ϕ:[0,∞)→[0,∞)\phi :\left[0,\infty )\to \left[0,\infty ).
Li Ziwei, Yang Dachun, Yuan Wen
doaj   +1 more source

From Sobolev Inequality to Doubling [PDF]

arXiv, 2013
In various analytical contexts, it is proved that a weak Sobolev inequality implies a doubling property for the underlying measure.
arxiv  

Qualitative Lipschitz to bi-Lipschitz decomposition

Analysis and Geometry in Metric Spaces
We prove that any Lipschitz map that satisfies a condition inspired by the work of G. David may be decomposed into countably many bi-Lipschitz pieces.
Bate David
doaj   +1 more source

Direct and inverse limits of normed modules [PDF]

arXiv, 2019
The aim of this note is to study existence and main properties of direct and inverse limits in the category of normed $L^0$-modules (in the sense of Gigli) over a metric measure space.
arxiv  

Admissibility versus $A_p$-conditions on regular trees [PDF]

arXiv, 2019
We show that the combination of doubling and $(1,p)$-Poincare inequality is equivalent to a version of the $A_p$-condition on rooted K-ary trees.
arxiv  

Extended b-metric-preserving functions [PDF]

arXiv, 2021
In this paper, we introduce a couple of classes of functions, denoted by DU and EB. We present the relationship between them and other known classes. Also, we show that the elements of the class EB, are amenable and quasi-subadditive functions (Theorem 2.14).
arxiv  

A note on indecomposable sets of finite perimeter [PDF]

arXiv, 2021
Bonicatto--Pasqualetto--Rajala (2020) proved that a decomposition theorem for sets of finite perimeter into indecomposable sets, known to hold in Euclidean spaces, holds also in complete metric spaces equipped with a doubling measure, supporting a Poincar\'e inequality, and satisfying an \emph{isotropicity} condition.
arxiv