48 citations · 191 across the 37 of their papers we have counts for
4 papers · 1 filter
Sampling discretization error for function classes
Vladimir Temlyakov
The new ingredient of this paper is that we consider infinitely dimensional classes of functions and instead of the relative error setting, which was used in previous papers on nor…
Connections between numerical integration, discrepancy, dispersion, and universal discretization
Vladimir Temlyakov
The main goal of this paper is to provide a brief survey of recent results which connect together results from different areas of research. It is well known that numerical integrat…
Weight-almost greedy bases
Stephen J. Dilworth, Denka Kutzarova, Vladimir Temlyakov +1
We introduce the notion of a \textit{weight-almost greedy} basis and show that a basis for a real Banach space is -almost greedy if and only if it is both quasi-greedy and -d…
A unified way of analyzing some greedy algorithms
Anton Dereventsov, Vladimir Temlyakov
In this paper we propose a unified way of analyzing a certain kind of greedy-type algorithms in Banach spaces. We define a class of the Weak Biorthogonal Greedy Algorithms that con…