Geodesic
Nonlinear Kolmogorov widths
Matematičeskie zametki, Tome 63 (1998) no. 6, pp. 891-902

Voir la notice de l'article provenant de la source Math-Net.Ru

We investigate a generalization of width in the sense of Kolmogorov suitable for estimating best $m$-term approximations. We generalize Carl's inequality which gives lower estimate of Kolmogorov widths in terms of entropy numbers. Application of these new inequalities gives some progress in the problem of estimating best $m$-term trigonometric approximations of multivariate functions. 
@article{MZM_1998_63_6_a10,
     author = {V. N. Temlyakov},
     title = {Nonlinear {Kolmogorov} widths},
     journal = {Matemati\v{c}eskie zametki},
     pages = {891--902},
     publisher = {mathdoc},
     volume = {63},
     number = {6},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1998_63_6_a10/}
}
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V. N. Temlyakov. Nonlinear Kolmogorov widths. Matematičeskie zametki, Tome 63 (1998) no. 6, pp. 891-902. http://geodesic.mathdoc.fr/item/MZM_1998_63_6_a10/