12 citations · 38 across the 10 of their papers we have counts for
6 papers · 1 filter
Some theoretical and practical results on noisy signals recovery
M. Makurin, Yu. Malykhin, K. Ryutin +1
We discuss some theoretical results and their applications to specific practical problems from wireless communications. We assume that we know the noisy version of the signal, whic…
One-sided discretization inequalities and sampling recovery
Irina Limonova, Yuri Malykhin, Vladimir Temlyakov
Recently, in a number of papers it was understood that results on sampling discretization and on the universal sampling discretization can be successfully used in the problem of sa…
On universal sampling recovery in the uniform norm
V. N. Temlyakov
It is known that results on universal sampling discretization of the square norm are useful in sparse sampling recovery with error measured in the square norm. In this paper we dem…
Dispersion of the Fibonacci and the Frolov point sets
V. N. Temlyakov
It is proved that the Fibonacci and the Frolov point sets, which are known to be very good for numerical integration, have optimal rate of decay of dispersion with respect to the c…
The Marcinkiewicz-type discretization theorems
V. N. Temlyakov
The paper is devoted to discretization of integral norms of functions from a given finite dimensional subspace. This problem is very important in applications but there is no syste…
Constructive sparse trigonometric approximation for functions with small mixed smoothness
V. N. Temlyakov
The paper gives a constructive method, based on greedy algorithms, that provides for the classes of functions with small mixed smoothness the best possible in the sense of order ap…