Some convexity constants related to Hlawka type inequalities in banach spaces

<p/> <p>A Hlawka type inequality in a Banach space is introduced and the best constant is given for the Hilbert space case.</p>

Bibliographic Details
Main Authors: Takahasi Sin-El, Wada Shuhei, Takahashi Yasuji
Format: Article
Language:English
Published: SpringerOpen 2002-01-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://www.journalofinequalitiesandapplications.com/content/7/920217
_version_ 1818236872650915840
author Takahasi Sin-El
Wada Shuhei
Takahashi Yasuji
author_facet Takahasi Sin-El
Wada Shuhei
Takahashi Yasuji
author_sort Takahasi Sin-El
collection DOAJ
description <p/> <p>A Hlawka type inequality in a Banach space is introduced and the best constant is given for the Hilbert space case.</p>
first_indexed 2024-12-12T12:16:46Z
format Article
id doaj.art-cc5ee08cbc414f00af77eb567bd30720
institution Directory Open Access Journal
issn 1025-5834
1029-242X
language English
last_indexed 2024-12-12T12:16:46Z
publishDate 2002-01-01
publisher SpringerOpen
record_format Article
series Journal of Inequalities and Applications
spelling doaj.art-cc5ee08cbc414f00af77eb567bd307202022-12-22T00:24:45ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2002-01-0120021920217Some convexity constants related to Hlawka type inequalities in banach spacesTakahasi Sin-ElWada ShuheiTakahashi Yasuji<p/> <p>A Hlawka type inequality in a Banach space is introduced and the best constant is given for the Hilbert space case.</p>http://www.journalofinequalitiesandapplications.com/content/7/920217Rademacher functionHlawka inequalityClarkson inequality
spellingShingle Takahasi Sin-El
Wada Shuhei
Takahashi Yasuji
Some convexity constants related to Hlawka type inequalities in banach spaces
Journal of Inequalities and Applications
Rademacher function
Hlawka inequality
Clarkson inequality
title Some convexity constants related to Hlawka type inequalities in banach spaces
title_full Some convexity constants related to Hlawka type inequalities in banach spaces
title_fullStr Some convexity constants related to Hlawka type inequalities in banach spaces
title_full_unstemmed Some convexity constants related to Hlawka type inequalities in banach spaces
title_short Some convexity constants related to Hlawka type inequalities in banach spaces
title_sort some convexity constants related to hlawka type inequalities in banach spaces
topic Rademacher function
Hlawka inequality
Clarkson inequality
url http://www.journalofinequalitiesandapplications.com/content/7/920217
work_keys_str_mv AT takahasisinel someconvexityconstantsrelatedtohlawkatypeinequalitiesinbanachspaces
AT wadashuhei someconvexityconstantsrelatedtohlawkatypeinequalitiesinbanachspaces
AT takahashiyasuji someconvexityconstantsrelatedtohlawkatypeinequalitiesinbanachspaces