A Coefficient Related to Some Geometric Properties of a Banach Space
<p>Abstract</p> <p>We introduce a new coefficient as a generalization of the modulus of smoothness and Pythagorean modulus of Banach space <inline-formula> <graphic file="1029-242X-2009-934321-i1.gif"/></inline-formula>. Some basic properties of this new...
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doaj-5d779041b1734a6cb70799d7255c248f2020-11-25T00:18:44ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2009-01-0120091934321A Coefficient Related to Some Geometric Properties of a Banach SpaceZuo ZhanfeiCui Yunan<p>Abstract</p> <p>We introduce a new coefficient as a generalization of the modulus of smoothness and Pythagorean modulus of Banach space <inline-formula> <graphic file="1029-242X-2009-934321-i1.gif"/></inline-formula>. Some basic properties of this new coefficient are investigated. Moreover, some sufficient conditions which imply normal structure are presented.</p>http://www.journalofinequalitiesandapplications.com/content/2009/934321 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Zuo Zhanfei Cui Yunan |
spellingShingle |
Zuo Zhanfei Cui Yunan A Coefficient Related to Some Geometric Properties of a Banach Space Journal of Inequalities and Applications |
author_facet |
Zuo Zhanfei Cui Yunan |
author_sort |
Zuo Zhanfei |
title |
A Coefficient Related to Some Geometric Properties of a Banach Space |
title_short |
A Coefficient Related to Some Geometric Properties of a Banach Space |
title_full |
A Coefficient Related to Some Geometric Properties of a Banach Space |
title_fullStr |
A Coefficient Related to Some Geometric Properties of a Banach Space |
title_full_unstemmed |
A Coefficient Related to Some Geometric Properties of a Banach Space |
title_sort |
coefficient related to some geometric properties of a banach space |
publisher |
SpringerOpen |
series |
Journal of Inequalities and Applications |
issn |
1025-5834 1029-242X |
publishDate |
2009-01-01 |
description |
<p>Abstract</p> <p>We introduce a new coefficient as a generalization of the modulus of smoothness and Pythagorean modulus of Banach space <inline-formula> <graphic file="1029-242X-2009-934321-i1.gif"/></inline-formula>. Some basic properties of this new coefficient are investigated. Moreover, some sufficient conditions which imply normal structure are presented.</p> |
url |
http://www.journalofinequalitiesandapplications.com/content/2009/934321 |
work_keys_str_mv |
AT zuozhanfei acoefficientrelatedtosomegeometricpropertiesofabanachspace AT cuiyunan acoefficientrelatedtosomegeometricpropertiesofabanachspace AT zuozhanfei coefficientrelatedtosomegeometricpropertiesofabanachspace AT cuiyunan coefficientrelatedtosomegeometricpropertiesofabanachspace |
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1725374824352579584 |