I. Limonova

collaborators

2 papers

math.NA2021

On exact discretization of the $L_{2}$ -norm with a negative weight

I. V. Limonova

For a subspace $X$ of functions from $L_{2}$ we consider the minimal number $m$ of nodes necessary for the exact discretization of the $L_{2}$ -norm of the functions in $X$ . We construc…

math.FA2020

On sampling discretization in $L_{2}$

Irina Limonova, Vladimir Temlyakov

We prove a sampling discretization theorem for the square norm of functions from a finite dimensional subspace satisfying Nikol'skii's inequality with an upper bound on the number…

On exact discretization of the L2​-norm with a negative weight

On sampling discretization in L2​

On exact discretization of the $L_{2}$ -norm with a negative weight

On sampling discretization in $L_{2}$