Jung's relative constant of the space \(L_ p\)
type: Item
instance of: scholarly article
title: Jung's relative constant of the space \(L_ p\)
zbMATH Open document ID: 0703.46021
DOI: 10.1007/BF01066372
author: S. A. Pichugov
published in: Ukrainian Mathematical Journal
publication date: 1990-01-01T00:00:00Z
review text: Continuing previous work on Jung's constant [\textit{S. A. Pichugov}, Mat. Zametki 43, No.5, 604-614 (1988; Zbl 0644.46016)], the author proves that the relative Jung constant of \(L_ p\) and \(\ell_ p\) \((1\leq p<\infty)\) is \(2^{-1/r}\), where \(r=\max \{p,p/(p-1)\}\).
Mathematics Subject Classification ID: 46E30
Mathematics Subject Classification ID: 46B25
Mathematics Subject Classification ID: 46A45
zbMATH DE Number: 4153215
zbMATH Keywords: relative Jung constant
reviewed by: Jürgen Appell
MaRDI profile type: Publication
cites work: Q5341481
cites work: On Jung's constant and related constants in normed linear spaces
cites work: Q3786934
cites work: \(L^p\) inequalities
cites work: The spaces \(L^ p\), with mixed norm
cites work: Uniform approximation and a generalized minimax theorem
description: scientific article; zbMATH DE number 4153215