【摘要】 <正> The tight orders for the Kolmogorov and adaptive ( n, ε, δ) -widths of the Sobolev spaces W2rrrrr equipped with a Gaussian measure in the Li-norm and Loo-norm are determined by the method of discretization, which is based on reducing the calculation of the ( n, ε, δ)-widths of the Sobolev space to the calculation of ( n, ε, δ)-widths of finite-dimensional set equipped with the Gaussian measure.更多还原

【Abstract】 The tight orders for the Kolmogorov and adaptive ( n,ε, δ) -widths of the Sobolev spaces W2γ equipped with a Gaussian measure in the Li-norm and Loo-norm are determined by the method of discretization, which is based on reducing the calculation of the (n,ε, δ)-widths of the Sobolev space to the calculation of (n, ε, δ)-widths of finite-dimensional set equipped with the Gaussian measure.更多还原