Geodesic
On a Norm and Approximate Characteristics of Classes of Multivariable Functions
Contemporary Mathematics. Fundamental Directions, Theory of functions, Tome 25 (2007), pp. 58-79

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

We introduce a space of quasicontinuous functions and study its approximate characteristics, i.e., $\varepsilon$-entropy and widths. We establish inequalities for norms of trigonometric polynomials in this space. Besides, we obtain exponents of $\varepsilon$-entropy and widths of some classes of functions with low smoothness. 
@article{CMFD_2007_25_a5,
     author = {B. S. Kashin and V. N. Temlyakov},
     title = {On a {Norm} and {Approximate} {Characteristics} of {Classes} of {Multivariable} {Functions}},
     journal = {Contemporary Mathematics. Fundamental Directions},
     pages = {58--79},
     publisher = {mathdoc},
     volume = {25},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CMFD_2007_25_a5/}
}
TY  - JOUR
AU  - B. S. Kashin
AU  - V. N. Temlyakov
TI  - On a Norm and Approximate Characteristics of Classes of Multivariable Functions
JO  - Contemporary Mathematics. Fundamental Directions
PY  - 2007
SP  - 58
EP  - 79
VL  - 25
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMFD_2007_25_a5/
LA  - ru
ID  - CMFD_2007_25_a5
ER  - 
%0 Journal Article
%A B. S. Kashin
%A V. N. Temlyakov
%T On a Norm and Approximate Characteristics of Classes of Multivariable Functions
%J Contemporary Mathematics. Fundamental Directions
%D 2007
%P 58-79
%V 25
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMFD_2007_25_a5/
%G ru
%F CMFD_2007_25_a5
B. S. Kashin; V. N. Temlyakov. On a Norm and Approximate Characteristics of Classes of Multivariable Functions. Contemporary Mathematics. Fundamental Directions, Theory of functions, Tome 25 (2007), pp. 58-79. http://geodesic.mathdoc.fr/item/CMFD_2007_25_a5/