18 citations · 46 across the 12 of their papers we have counts for
14 papers
On the cardinality of lower sets and universal discretization
F. Dai, A. Prymak, A. Shadrin +2
A set in is a lower set if implies whenever for all . We derive new and refine known results…
Fast and stable approximation of analytic functions from equispaced samples via polynomial frames
Ben Adcock, Alexei Shadrin
We consider approximating analytic functions on the interval from their values at a set of equispaced nodes. A result of Platte, Trefethen \& Kuijlaars states that f…
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…
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…
On the largest critical value of
Geno Nikolov, Nikola Naidenov, Alexei Shadrin
We study the quantity where is the Chebyshev polynomial of degree , and is the rightmost zero of $T_n…
Markov -inequality with the Laguerre weight
Geno Nikolov, Alexei Shadrin
Let , where , be the Laguerre weight function, and let be the associated -norm, $$ \|f\|_{w_α} = \left\{\int_{0}^{\infty} |f(x)…