N-Widths of Multivariate Sobolev Spaces with Common Smoothness in Probabilistic and Average Settings in the Sq Norm
نویسندگان
چکیده
In this article, we give the sharp bounds of probabilistic Kolmogorov N,δ-widths and linear multivariate Sobolev space W2A with common smoothness on a Sq norm equipped Gaussian measure μ, where A⊂Rd is finite set. And obtain average width from results widths. These develop theory approximation functions play important roles in research related algorithms for spaces.
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ژورنال
عنوان ژورنال: Axioms
سال: 2023
ISSN: ['2075-1680']
DOI: https://doi.org/10.3390/axioms12070698