Geodesic
On relative widths of classes of differentiable functions. III
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 17 (2011) no. 3, pp. 300-302
Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice du chapitre de livre

A lower estimate is established for the minimum value of the factor $M$ for which the Kolmogorov width $d_n(W_C^r,C)$ and the relative width $K_n(W_C^r,MW_C^j,C)$ of the class of functions $W_C^r$ with respect to the class $MW^j_C$ coincide for $j>r$. The order of this estimate with respect to $n$ is the same as in the upper estimate obtained earlier.
Keywords: comparison functions, Kolmogorov and relative widths. 
@article{TIMM_2011_17_3_a29,
     author = {Yu. N. Subbotin and S. A. Telyakovskii},
     title = {On relative widths of classes of differentiable {functions.~III}},
     journal = {Trudy Instituta matematiki i mehaniki},
     pages = {300--302},
     year = {2011},
     volume = {17},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMM_2011_17_3_a29/}
}
TY  - JOUR
AU  - Yu. N. Subbotin
AU  - S. A. Telyakovskii
TI  - On relative widths of classes of differentiable functions. III
JO  - Trudy Instituta matematiki i mehaniki
PY  - 2011
SP  - 300
EP  - 302
VL  - 17
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TIMM_2011_17_3_a29/
LA  - ru
ID  - TIMM_2011_17_3_a29
ER  - 
%0 Journal Article
%A Yu. N. Subbotin
%A S. A. Telyakovskii
%T On relative widths of classes of differentiable functions. III
%J Trudy Instituta matematiki i mehaniki
%D 2011
%P 300-302
%V 17
%N 3
%U http://geodesic.mathdoc.fr/item/TIMM_2011_17_3_a29/
%G ru
%F TIMM_2011_17_3_a29
Yu. N. Subbotin; S. A. Telyakovskii. On relative widths of classes of differentiable functions. III. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 17 (2011) no. 3, pp. 300-302. http://geodesic.mathdoc.fr/item/TIMM_2011_17_3_a29/

[1] Konovalov V. N., “Otsenki poperechnikov tipa Kolmogorova dlya klassov differentsiruemykh periodicheskikh funktsii”, Mat. zametki, 35:3 (1984), 369–380 | MR | Zbl

[2] Babenko V. F., “O nailuchshikh ravnomernykh priblizheniyakh splainami pri nalichii ogranichenii na ikh proizvodnye”, Mat. zametki, 50:6 (1991), 24–30 | MR | Zbl

[3] Subbotin Yu. N., Telyakovskii S. A., “Tochnye znacheniya otnositelnykh poperechnikov klassov differentsiruemykh funktsii”, Mat. zametki, 65:6 (1999), 871–879 | MR | Zbl

[4] Subbotin Yu. N., Telyakovskii S. A., “Ob otnositelnykh poperechnikakh klassov differentsiruemykh funktsii”, Tr. MIAN, 248, 2005, 250–261 | MR | Zbl

[5] Subbotin Yu. N., Telyakovskii S. A., “Utochnenie otsenok otnositelnykh poperechnikov klassov differentsiruemykh funktsii”, Tr. MIAN, 269, 2010, 242–253 | MR | Zbl

[6] Subbotin Yu. N., Telyakovskii S. A., “Ob otnositelnykh poperechnikakh klassov differentsiruemykh funktsii. II”, Ukr. mat. zhurn., 62:3 (2010), 423–431 | MR | Zbl