AbstractWe consider best approximation of some function classes by the manifold Mn consisting of sums of n arbitrary ridge functions. It is proved that the deviation of the Sobolev class Wr, d2 from the manifold Mn in the space L2 behaves asymptotically as n−r/(d−1)
AbstractThe problem of approximating smooth Lp-functions from spaces spanned by the integer translat...
AbstractWe obtain estimates on the order of best approximation by polynomials and ridge functions in...
We consider the approximation of manifold-valued functions by embedding the manifold into a higher d...
AbstractWe consider best approximation of some function classes by the manifold Mn consisting of sum...
International audienceWe consider the best approximation of some function classes by the manifold M-...
AbstractWe investigate the radial manifolds Rn generated by a linear combination of n radial functio...
AbstractWe introduce a construction of a uniform measure over a functional class Br which is similar...
Abstract In this paper, we investigate the radial function manifolds generated by a linear combinati...
We investigate the efficiency of approximation by linear combinations of ridge func-tions in the met...
AbstractWe study the approximation of a continuous function field over a compact set T by a continuo...
AbstractLet Wpr(Bd) be the usual Sobolev class of functions on the unit ball Bd in Rd, and Wp∘,r(Bd)...
The asymptotic behavior of the n-widths of a wide range of sets of smooth functions on a d-dimension...
AbstractThe asymptotic behavior of the n-widths of a wide range of sets of smooth functions on a d-d...
We show that ridgelets, a system introduced in [E. J. Candes, Appl. Comput. Harmon. Anal., 6(1999), ...
AbstractWe describe the configuration of an infinite set V of vectors in Rs, s ⩾ 1, for which the cl...
AbstractThe problem of approximating smooth Lp-functions from spaces spanned by the integer translat...
AbstractWe obtain estimates on the order of best approximation by polynomials and ridge functions in...
We consider the approximation of manifold-valued functions by embedding the manifold into a higher d...
AbstractWe consider best approximation of some function classes by the manifold Mn consisting of sum...
International audienceWe consider the best approximation of some function classes by the manifold M-...
AbstractWe investigate the radial manifolds Rn generated by a linear combination of n radial functio...
AbstractWe introduce a construction of a uniform measure over a functional class Br which is similar...
Abstract In this paper, we investigate the radial function manifolds generated by a linear combinati...
We investigate the efficiency of approximation by linear combinations of ridge func-tions in the met...
AbstractWe study the approximation of a continuous function field over a compact set T by a continuo...
AbstractLet Wpr(Bd) be the usual Sobolev class of functions on the unit ball Bd in Rd, and Wp∘,r(Bd)...
The asymptotic behavior of the n-widths of a wide range of sets of smooth functions on a d-dimension...
AbstractThe asymptotic behavior of the n-widths of a wide range of sets of smooth functions on a d-d...
We show that ridgelets, a system introduced in [E. J. Candes, Appl. Comput. Harmon. Anal., 6(1999), ...
AbstractWe describe the configuration of an infinite set V of vectors in Rs, s ⩾ 1, for which the cl...
AbstractThe problem of approximating smooth Lp-functions from spaces spanned by the integer translat...
AbstractWe obtain estimates on the order of best approximation by polynomials and ridge functions in...
We consider the approximation of manifold-valued functions by embedding the manifold into a higher d...
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