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- W4384665909 abstract "In this article, we give the sharp bounds of probabilistic Kolmogorov N,δ-widths and probabilistic linear N,δ-widths of the multivariate Sobolev space W2A with common smoothness on a Sq norm equipped with the Gaussian measure μ, where A⊂Rd is a finite set. And we obtain the sharp bounds of average width from the results of the probabilistic widths. These results develop the theory of approximation of functions and play important roles in the research of related approximation algorithms for Sobolev spaces." @default.
- W4384665909 created "2023-07-20" @default.
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- W4384665909 date "2023-07-17" @default.
- W4384665909 modified "2023-09-30" @default.
- W4384665909 title "N-Widths of Multivariate Sobolev Spaces with Common Smoothness in Probabilistic and Average Settings in the Sq Norm" @default.
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- W4384665909 doi "https://doi.org/10.3390/axioms12070698" @default.
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