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math.NA2026
Nonlinear approximation with adaptive dictionaries
V. Temlyakov
It is well known that the study of the Kolmogorov widths of a function class, which is the image of the unit ball of the space of an integral operator with the kernel $…
math.NA2026
A survey of sampling discretization of integral and uniform norms
F. Dai, E. Kosov, V. Temlyakov
This paper surveys recent developments in the sampling discretization of integral and uniform norms for functions in general finite-dimensional spaces. These results generalize the…
math.NA2026
Sampling recovery on classes defined by integral operators and sparse approximation with adaptive dictionaries
V. Temlyakov
In this paper we continue to develop the following general approach. We study asymptotic behavior of the errors of sampling recovery not for an individual smoothness class, how it…