A. Shadrin

activity

20062022

most citedEntropy numbers and Marcinkiewicz-type discretization theorem

18 citations · 46 across the 12 of their papers we have counts for

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8 papers · 1 filter

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.CA2017

On the largest critical value of $T_{n}^{(k)}$

Geno Nikolov, Nikola Naidenov, Alexei Shadrin

We study the quantity $τ_{n, k} := \frac{∣ T _{n}^{(k)} ( ω _{n, k} ) ∣}{T _{n}^{(k)} ( 1 )},$ where $T_{n}$ is the Chebyshev polynomial of degree $n$ , and $ω_{n, k}$ is the rightmost zero of $T_n…

math.CA2017★ 3 cited

Markov $L_{2}$ -inequality with the Laguerre weight

Geno Nikolov, Alexei Shadrin

Let $w_{α} (t) := t^{α} e^{- t}$ , where $α > - 1$ , be the Laguerre weight function, and let $∥ \cdot ∥_{w_{α}}$ be the associated $L_{2}$ -norm, $$ \|f\|_{w_α} = \left\{\int_{0}^{\infty} |f(x)…

math.CA2017

On the Markov inequality in the $L_{2}$ -norm with the Gegenbauer weight

Geno Nikolov, Alexei Shadrin

Let $w_{λ} (t) := (1 - t^{2})^{λ - 1/2}$ , where $λ > - \frac{1}{2}$ , be the Gegenbauer weight function, let $∥ \cdot ∥_{w_{λ}}$ be the associated $L_{2}$ -norm, $$ \|f\|_{w_λ} = \left\{\int_{-1}^1…

math.CA2016

On the $L_{2}$ Markov Inequality with Laguerre Weight

Geno Nikolov, Alexei Shadrin

Let $w_{α} (t) = t^{α} e^{- t}$ , $α > - 1$ , be the Laguerre weight function, and $∣ \cdot ∣_{w_{α}}$ denote the associated $L_{2}$ -norm, i.e., $$ | f|_{w_α}:=\Big(\int_{0}^{\infty}w_α(t)| f(t)|^2\…

Entropy numbers and Marcinkiewicz-type discretization theorem

Sampling discretization of integral norms

On the largest critical value of Tn(k)​

Markov L2​-inequality with the Laguerre weight

On the Markov inequality in the L2​-norm with the Gegenbauer weight

On the L2​ Markov Inequality with Laguerre Weight

On the largest critical value of $T_{n}^{(k)}$

Markov $L_{2}$ -inequality with the Laguerre weight

On the Markov inequality in the $L_{2}$ -norm with the Gegenbauer weight

On the $L_{2}$ Markov Inequality with Laguerre Weight