On Landau-Kolmogorov type inequalities for charges and their applications

In this article we prove sharp Landau-Kolmogorov type inequalities on a class of charges defined on Lebesgue measurable subsets of a cone in $\mathbb{R}^d$, $d\geqslant 1$, that are absolutely continuous with respect to the Lebesgue measure. In addition we solve the Stechkin problem of approximation...

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Bibliographic Details

Published in:	Researches in Mathematics
Main Authors:	V.F. Babenko, V.V. Babenko, O.V. Kovalenko, N.V. Parfinovych
Format:	Article
Language:	English
Published:	Oles Honchar Dnipro National University 2023-06-01
Subjects:	landau-kolmogorov type inequality stechkin's problem gradient charge mixed derivative
Online Access:	https://vestnmath.dnu.dp.ua/index.php/rim/article/view/395/395