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- W2020168250 abstract "We investigate the $L_p$ -error of approximation to a function $fin L_p({Bbb T}^d)$ by a linear combination $sum_{k}c_ke_k$ of $n$ exponentials $e_k(x):= e^{ilangle k,xrangle}=e^{i(k_1x_1+cdots+k_dx_d)}$ on ${Bbb T}^d,$ where the frequencies $kin {Bbb Z}^d$ are allowed to depend on $f.$ We bound this error in terms of the smoothness and other properties of $f$ and show that our bounds are best possible in the sense of approximation of certain classes of functions." @default.
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- W2020168250 date "1995-02-01" @default.
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- W2020168250 title "Nonlinear Approximation by Trigonometric Sums" @default.
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- W2020168250 doi "https://doi.org/10.1007/s00041-001-4021-8" @default.
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