18 citations · 36 across the 8 of their papers we have counts for
9 papers · 1 filter
On universal sampling representation
V. N. Temlyakov
For the multivariate trigonometric polynomials we study convolution with the corresponding the de la Vallee Poussin kernel from the point of view of discretization. In other words,…
Sampling discretization of integral norms and its application
F. Dai, V. Temlyakov
The paper addresses the problem of sampling discretization of integral norms of elements of finite-dimensional subspaces satisfying some conditions. We prove sampling discretizatio…
Bounds on Kolmogorov widths and sampling recovery for classes with small mixed smoothness
V. Temlyakov, T. Ullrich
Results on asymptotic characteristics of classes of functions with mixed smoothness are obtained in the paper. Our main interest is in estimating the Kolmogorov widths of classes w…
On optimal recovery in
V. Temlyakov
We prove that the optimal error of recovery in the norm of functions from a class $\bF$ can be bounded above by the value of the Kolmogorov width of $\bF$ in the uniform norm…
A remark on entropy numbers
Vladimir Temlyakov
Talagrand's fundamental result on the entropy numbers is slightly improved. Our proof uses different ideas based on results from greedy approximation.
Sampling discretization of integral norms of the hyperbolic cross polynomials
Vladimir Temlyakov
The paper is devoted to discretization of integral norms of functions from a given finite dimensional subspace. We use recent general results on sampling discretization to derive a…