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 l...

Full description

Bibliographic Details

Published in:	Researches in Mathematics
Main Author:	D. Skorokhodov
Format:	Article
Language:	English
Published:	Oles Honchar Dnipro National University 2019-07-01
Subjects:	the Landau-Kolmogorov problem the Stechkin problem best recovery of operator modulus of continuity of operator
Online Access:	https://vestnmath.dnu.dp.ua/index.php/rim/article/view/113