DOI: 10.3390/axioms12090804 ISSN:
Approximation Characteristics of Gel’fand Type in Multivariate Sobolev Spaces with Mixed Derivative Equipped with Gaussian Measure
Yuqi Liu, Huan Li, Xuehua Li- Geometry and Topology
- Logic
- Mathematical Physics
- Algebra and Number Theory
- Analysis
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.