New Characterizations of k-Uniformly Extremely Convex Banach Spaces

Two characterizations of k-uniformly extremely convex spaces are given in this paper. As special cases for k=1, two necessary and sufficient conditions of uniform extreme convexity are presented and a characteristic inequality of uniformly extremely convex spaces is given.

Saved in:
Bibliographic Details
Main Author: Suyalatu Wulede
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2018/9329248
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832554035584958464
author Suyalatu Wulede
author_facet Suyalatu Wulede
author_sort Suyalatu Wulede
collection DOAJ
description Two characterizations of k-uniformly extremely convex spaces are given in this paper. As special cases for k=1, two necessary and sufficient conditions of uniform extreme convexity are presented and a characteristic inequality of uniformly extremely convex spaces is given.
format Article
id doaj-art-b05f5bdd94d34d1d8f44c6625ba97b94
institution Kabale University
issn 2314-8896
2314-8888
language English
publishDate 2018-01-01
publisher Wiley
record_format Article
series Journal of Function Spaces
spelling doaj-art-b05f5bdd94d34d1d8f44c6625ba97b942025-02-03T05:52:34ZengWileyJournal of Function Spaces2314-88962314-88882018-01-01201810.1155/2018/93292489329248New Characterizations of k-Uniformly Extremely Convex Banach SpacesSuyalatu Wulede0College of Mathematics Science, Inner Mongolia Normal University, Huhhot 010022, ChinaTwo characterizations of k-uniformly extremely convex spaces are given in this paper. As special cases for k=1, two necessary and sufficient conditions of uniform extreme convexity are presented and a characteristic inequality of uniformly extremely convex spaces is given.http://dx.doi.org/10.1155/2018/9329248
spellingShingle Suyalatu Wulede
New Characterizations of k-Uniformly Extremely Convex Banach Spaces
Journal of Function Spaces
title New Characterizations of k-Uniformly Extremely Convex Banach Spaces
title_full New Characterizations of k-Uniformly Extremely Convex Banach Spaces
title_fullStr New Characterizations of k-Uniformly Extremely Convex Banach Spaces
title_full_unstemmed New Characterizations of k-Uniformly Extremely Convex Banach Spaces
title_short New Characterizations of k-Uniformly Extremely Convex Banach Spaces
title_sort new characterizations of k uniformly extremely convex banach spaces
url http://dx.doi.org/10.1155/2018/9329248
work_keys_str_mv AT suyalatuwulede newcharacterizationsofkuniformlyextremelyconvexbanachspaces