MEAN DIMENSION, WIDTHS, AND OPTIMAL RECOVERY OF SOBOLEV CLASSES OF FUNCTIONS ON THE LINE
From MaRDI portal
Publication:3986326
DOI10.1070/SM1993v074n02ABEH003352zbMath0798.41015MaRDI QIDQ3986326
Publication date: 27 June 1992
Published in: Mathematics of the USSR-Sbornik (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/72317
Best approximation, Chebyshev systems (41A50) Multidimensional problems (41A63) Approximation by operators (in particular, by integral operators) (41A35) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)
Related Items
Sharp estimates for the mean-square approximations of convolution classes by shift spaces on the axis ⋮ Bernstein widths of some classes of functions defined by a self-adjoint operator ⋮ Exact values of Bernstein \(n\)-widths for some classes of convolution functions ⋮ On the best mean square approximations by entire functions of exponential type in \(L_2(\mathbb R)\) and mean \(\nu\)-widths of some functional classes ⋮ Relative infinite-dimensional width of Sobolev classes ⋮ Generalized characteristics of smoothness and some extreme problems of the approximation theory of functions in the space \(L_2(\mathbb{R})\). II ⋮ Average dimension of shift spaces ⋮ Sharp constants for approximations of convolution classes with an integrable kernel by spaces of shifts ⋮ Bernstein \(n\)-widths for classes of convolution functions with kernels satisfying certain oscillation properties ⋮ Classes of convolutions with a singular family of kernels: Sharp constants for approximation by spaces of shifts
