57 citations · 85 across the 3 of their papers we have counts for
3 papers
math.CA2020★ 18 cited
Entropy numbers and Marcinkiewicz-type discretization theorem
F. Dai, A. Prymak, A. Shadrin +2
This paper studies the behavior of the entropy numbers of classes of functions with bounded integral norms from a given finite dimensional linear subspace. Upper bounds of these en…
math.CA2020★ 10 cited
Sampling discretization of integral norms
F. Dai, A. Prymak, A. Shadrin +2
The paper is devoted to discretization of integral norms of functions from a given finite dimensional subspace. Even though this problem is extremely important in applications, its…
math.NA2018★ 57 cited
Integral norm discretization and related problems
F. Dai, A. Prymak, V. N. Temlyakov +1
The problem of replacing an integral norm with respect to a given probability measure by the corresponding integral norm with respect to a discrete measure is discussed in the pape…