On the Landau-Kolmogorov inequality between $\| f' \|_{\infty}$, $\| f \|_{\infty}$ and $\| f''' \|_1$

We solve the Landau-Kolmogorov problem on finding sharp additive inequalities that estimate $\| f' \|_{\infty}$ in terms of $\| f \|_{\infty}$ and $\| f''' \|_1$. Simultaneously we solve related problems of the best approximation of first order differentiation operator $D^1$ by linear bounded ones a...

Cijeli opis

Bibliografski detalji

Glavni autor:	D. Skorokhodov
Format:	Artigo
Jezik:	Inglês
Izdano:	Oles Honchar Dnipro National University 2019-07-01
Serija:	Researches in Mathematics
Teme:	the Landau-Kolmogorov problem the Stechkin problem best recovery of operator modulus of continuity of operator
Online pristup:	https://vestnmath.dnu.dp.ua/index.php/rim/article/view/113
Oznake:	Dodaj oznaku Bez oznaka, Budi prvi tko označuje ovaj zapis!