T. Garmanova

activity

20202026

collaborators

3 papers

math.FA2026

On Sharp Estimates of Derivatives of Even Order

T. A. Garmanova, I. A. Sheipak

The norms of embedding operators of Sobolev spaces $\Wo^n_2[0;1]\hookrightarrow\Wo^k_\infty[0;1]$ ( $0 ⩽ k ⩽ n - 1$ ) are considered. The least possible quantities $A^2_{…

math.FA2022

Exact estimates of high-order derivatives in Sobolev spaces

T. A. Garmanova, I. A. Sheipak

The paper describes the splines $Q_{n, k} (x, a)$ , which for an arbitrary point $a \in (0; 1)$ and an arbitrary function $y \in W ˚_{p}^{n} [0; 1]$ set the relations $y^{(k)}(a)=\int_0^…

math.FA2020

Explicit Form Of Extremal Functions In The Embedding Constant Problem For Sobolev SpacesI

Igor Sheipak, Tatiana Garmanova

The embedding constants of the Sobolev spaces $W ˚_{2}^{n} [0; 1] ↪ W ˚_{\infty}^{k} [0; 1]$ ( $0 ⩽ k ⩽ n - 1$ ) are studied. A relation of the embe…