On Generalized Moduli of Quasi-Banach Space

We shall discuss three generalized moduli such as generalized modulus of convexity, modulus of smoothness, and modulus of Zou-Cui of quasi-Banach spaces and give some important properties of these moduli. Furthermore, we establish relationships of these generalized moduli with each other.

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Main Authors: Young Chel Kwun, Hussain Minhaj Uddin Ahmad Qadri, Waqas Nazeer, Absar Ul Haq, Shin Min Kang
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2018/7324783
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author Young Chel Kwun
Hussain Minhaj Uddin Ahmad Qadri
Waqas Nazeer
Absar Ul Haq
Shin Min Kang
author_facet Young Chel Kwun
Hussain Minhaj Uddin Ahmad Qadri
Waqas Nazeer
Absar Ul Haq
Shin Min Kang
author_sort Young Chel Kwun
collection DOAJ
description We shall discuss three generalized moduli such as generalized modulus of convexity, modulus of smoothness, and modulus of Zou-Cui of quasi-Banach spaces and give some important properties of these moduli. Furthermore, we establish relationships of these generalized moduli with each other.
format Article
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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-58d2deb765ba4c6db0df8d5adada43382025-08-20T03:34:44ZengWileyJournal of Function Spaces2314-88962314-88882018-01-01201810.1155/2018/73247837324783On Generalized Moduli of Quasi-Banach SpaceYoung Chel Kwun0Hussain Minhaj Uddin Ahmad Qadri1Waqas Nazeer2Absar Ul Haq3Shin Min Kang4Department of Mathematics, Dong-A University, Busan 49315, Republic of KoreaAitchison College, Lahore 54000, PakistanDivision of Science and Technology, University of Education, Lahore 54000, PakistanDepartment of Mathematics, University of Management and Technology, Sialkot Campus, Sialkot 51410, PakistanDepartment of Mathematics and RINS, Gyeongsang National University, Jinju 52828, Republic of KoreaWe shall discuss three generalized moduli such as generalized modulus of convexity, modulus of smoothness, and modulus of Zou-Cui of quasi-Banach spaces and give some important properties of these moduli. Furthermore, we establish relationships of these generalized moduli with each other.http://dx.doi.org/10.1155/2018/7324783
spellingShingle Young Chel Kwun
Hussain Minhaj Uddin Ahmad Qadri
Waqas Nazeer
Absar Ul Haq
Shin Min Kang
On Generalized Moduli of Quasi-Banach Space
Journal of Function Spaces
title On Generalized Moduli of Quasi-Banach Space
title_full On Generalized Moduli of Quasi-Banach Space
title_fullStr On Generalized Moduli of Quasi-Banach Space
title_full_unstemmed On Generalized Moduli of Quasi-Banach Space
title_short On Generalized Moduli of Quasi-Banach Space
title_sort on generalized moduli of quasi banach space
url http://dx.doi.org/10.1155/2018/7324783
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AT waqasnazeer ongeneralizedmoduliofquasibanachspace
AT absarulhaq ongeneralizedmoduliofquasibanachspace
AT shinminkang ongeneralizedmoduliofquasibanachspace