Geodesic
Kolmogorov and linear diameters of functional classes and finite dimensional sets
Vladikavkazskij matematičeskij žurnal, Tome 13 (2011) no. 2, pp. 3-14

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In this paper we give a brief review of results concerning the Kolmogorov and linear diameters of Sobolev, Holder–Nikol'skii and Besov classes of periodic functions of one and several variables as well as of finite-dimensional sets. We present theorems for the order estimates of diameters obtained by the author, Temlyakov and others. 
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     author = {E. M. Galeev},
     title = {Kolmogorov and linear diameters of functional classes and finite dimensional sets},
     journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
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     number = {2},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMJ_2011_13_2_a0/}
}
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E. M. Galeev. Kolmogorov and linear diameters of functional classes and finite dimensional sets. Vladikavkazskij matematičeskij žurnal, Tome 13 (2011) no. 2, pp. 3-14. http://geodesic.mathdoc.fr/item/VMJ_2011_13_2_a0/