Generalized Difference Spaces of Non-Absolute Type of Convergent and Null Sequences

The aim of the present paper is to introduce the spaces and of generalized difference sequences which generalize the paper due to Mursaleen and Noman (2010). These spaces are the BK-spaces of non-absolute type and norm isomorphic to the spaces and , respectively. Furthermore, we derive some inclu...

Full description

Saved in:
Bibliographic Details
Main Authors: Abdulcabbar Sönmez, Feyzi Başar
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/435076
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832565055250497536
author Abdulcabbar Sönmez
Feyzi Başar
author_facet Abdulcabbar Sönmez
Feyzi Başar
author_sort Abdulcabbar Sönmez
collection DOAJ
description The aim of the present paper is to introduce the spaces and of generalized difference sequences which generalize the paper due to Mursaleen and Noman (2010). These spaces are the BK-spaces of non-absolute type and norm isomorphic to the spaces and , respectively. Furthermore, we derive some inclusion relations determine the , , and duals of those spaces, and construct their Schauder bases. Finally, we characterize some matrix classes from the spaces , and to the spaces , , and c.
format Article
id doaj-art-c198623f5db749fb86a7234ac7d0ff8d
institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2012-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-c198623f5db749fb86a7234ac7d0ff8d2025-02-03T01:09:33ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/435076435076Generalized Difference Spaces of Non-Absolute Type of Convergent and Null SequencesAbdulcabbar Sönmez0Feyzi Başar1Department of Mathematics, Faculty of Sciences, Erciyes University, Melikgazi, 38039 Kayseri, TurkeyDepartment of Mathematics, Faculty of Art and Sciences, Fatih University, The Hadımköy Campus, Büyükçekmece, 34500 İstanbul, TurkeyThe aim of the present paper is to introduce the spaces and of generalized difference sequences which generalize the paper due to Mursaleen and Noman (2010). These spaces are the BK-spaces of non-absolute type and norm isomorphic to the spaces and , respectively. Furthermore, we derive some inclusion relations determine the , , and duals of those spaces, and construct their Schauder bases. Finally, we characterize some matrix classes from the spaces , and to the spaces , , and c.http://dx.doi.org/10.1155/2012/435076
spellingShingle Abdulcabbar Sönmez
Feyzi Başar
Generalized Difference Spaces of Non-Absolute Type of Convergent and Null Sequences
Abstract and Applied Analysis
title Generalized Difference Spaces of Non-Absolute Type of Convergent and Null Sequences
title_full Generalized Difference Spaces of Non-Absolute Type of Convergent and Null Sequences
title_fullStr Generalized Difference Spaces of Non-Absolute Type of Convergent and Null Sequences
title_full_unstemmed Generalized Difference Spaces of Non-Absolute Type of Convergent and Null Sequences
title_short Generalized Difference Spaces of Non-Absolute Type of Convergent and Null Sequences
title_sort generalized difference spaces of non absolute type of convergent and null sequences
url http://dx.doi.org/10.1155/2012/435076
work_keys_str_mv AT abdulcabbarsonmez generalizeddifferencespacesofnonabsolutetypeofconvergentandnullsequences
AT feyzibasar generalizeddifferencespacesofnonabsolutetypeofconvergentandnullsequences