Approximation Characteristics of Gel’fand Type in Multivariate Sobolev Spaces with Mixed Derivative Equipped with Gaussian Measure-Reference-Cited by-同舟云学术

Approximation Characteristics of Gel’fand Type in Multivariate Sobolev Spaces with Mixed Derivative Equipped with Gaussian Measure

Published:2023-08-22 Issue:9 Volume:12 Page:804
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Liu Yuqi¹^ORCID,Li Huan¹,Li Xuehua¹

Affiliation:

1. College of Science, North China University of Technology, Beijing 100144, China

Abstract

In this paper, we study the probabilistic Gel’fand N,δ-width of multivariate Sobolev spaces MW2rTd with mixed derivative that are equipped with Gaussian measure μ in LqTd. The sharp asymptotic estimates are determined by employing the discretization method.

Funder

Foundation of Dean of College of Science

Initial Research Fund of North China University of Technology

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/12/9/804/pdf

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5. Gel’fand-N-width in probabilistic setting;Tan;J. Inequalities Appl.,2020

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