Widths and distributions of values of the approximation functional on the Sobolev spaces with measure
In this paper the author calculates Kolmogorov and adaptive \((n, \varepsilon, \delta)\) -widths of the Sobolev space \(W_2^r\) equipped with a Gaussian measure in the \(L_q\) -norm. Analogous results are obtained for the unit balls \(BW_2^r\) in Sobolev spaces.
distribution of values of approximation functional
scientific article; zbMATH DE number 1019676