Linear Widths of Function Spaces Equipped with the Gaussian Measure
نویسندگان
چکیده
منابع مشابه
Probabilistic and average linear widths of Sobolev space with Gaussian measure
E-mail: [email protected] Abstract: We determine the exact order of the p-average linear n-widths λ n (W r 2 , μ, Lq)p, 1 ≤ q < ∞, 0 < p <∞, of the Sobolev space W r 2 equipped with a Gaussian measure μ in the Lq-norm. Moreover, we also calculate the probabilistic linear (n, δ)-widths and p-average linear n-widths of the finitedimensional space R with the standard Gaussian measure in l q , i.e.,
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ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 1994
ISSN: 0021-9045
DOI: 10.1006/jath.1994.1035