N-Widths and ε-Dimensions for High-Dimensional Approximations

Abstract

In this paper, we study linear trigonometric hyperbolic cross approximations, Kolmogorov n-widths dn(W,H γ), and ε-dimensions nε(W,H γ) of periodic d-variate function classes W with anisotropic smoothness, where d may be large. We are interested in finding the accurate dependence of dn(W,H γ) and nε(W,H γ) as a function of two variables n, d and ε, d… (More)
DOI: 10.1007/s10208-013-9149-9

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