G. Nikolov

activity

20122022

L_{2}

-inequality with the Laguerre weight

3 citations · 6 across the 12 of their papers we have counts for

collaborators

Showing 2017Show all

5 papers · 1 filter

math.CA2017★ 1 cited

Estimates for the best constant in a Markov $L_{2}$ -inequality with the assistance of computer algebra

Geno Nikolov, Rumen Uluchev

We prove two-sided estimates for the best (i.e., the smallest possible) constant $c_{n} (α)$ in the Markov inequality $$ \|p_n'\|_{w_α} \le c_n(α) \|p_n\|_{w_α}\,, \qquad p_n \in…

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

Markov $L_{2}$ inequality with the Gegenbauer weight

Dragomir Aleksov, Geno Nikolov

For the Gegenbauer weight function $w_{λ} (t) = (1 - t^{2})^{λ - 1/2}$ , $λ > - 1/2$ , we denote by $∥ \cdot ∥_{w_{λ}}$ the associated $L_{2}$ -norm, $$ \Vert f\Vert_{w_λ}:=\Big(\int_{-1}^{1}w_λ(…

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…

Estimates for the best constant in a Markov L2​-inequality with the assistance of computer algebra

On the largest critical value of Tn(k)​

Markov L2​-inequality with the Laguerre weight

Markov L2​ inequality with the Gegenbauer weight

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

Estimates for the best constant in a Markov $L_{2}$ -inequality with the assistance of computer algebra

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

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

Markov $L_{2}$ inequality with the Gegenbauer weight

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