Certain Sequence Spaces over the Non-Newtonian Complex Field
It is known from functional analysis that in classical calculus, the sets , , , and of all bounded, convergent, null and -absolutely summable sequences are Banach spaces with their natural norms and they are complete according to the metric reduced from their norm, where . In this study, our main...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/739319 |
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| author | Sebiha Tekin Feyzi Başar |
| author_facet | Sebiha Tekin Feyzi Başar |
| author_sort | Sebiha Tekin |
| collection | DOAJ |
| description | It is known from functional analysis that in classical calculus, the sets , , , and of all bounded, convergent, null and -absolutely summable sequences are Banach spaces with their natural norms and they are complete according to the metric reduced from their norm, where . In this study, our main goal is to construct the spaces , , , and over the non-Newtonian complex field and to obtain
the corresponding results for these spaces, where . |
| format | Article |
| id | doaj-art-6299a5dadc8043b492f1aba17adafe2e |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-6299a5dadc8043b492f1aba17adafe2e2025-02-03T06:08:37ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/739319739319Certain Sequence Spaces over the Non-Newtonian Complex FieldSebiha Tekin0Feyzi Başar1Department of Mathematics, Faculty of Arts and Sciences, Fatih University, The Hadimköy Campus, Büyükçekmece, 34500 Istanbul, TurkeyDepartment of Mathematics, Faculty of Arts and Sciences, Fatih University, The Hadimköy Campus, Büyükçekmece, 34500 Istanbul, TurkeyIt is known from functional analysis that in classical calculus, the sets , , , and of all bounded, convergent, null and -absolutely summable sequences are Banach spaces with their natural norms and they are complete according to the metric reduced from their norm, where . In this study, our main goal is to construct the spaces , , , and over the non-Newtonian complex field and to obtain the corresponding results for these spaces, where .http://dx.doi.org/10.1155/2013/739319 |
| spellingShingle | Sebiha Tekin Feyzi Başar Certain Sequence Spaces over the Non-Newtonian Complex Field Abstract and Applied Analysis |
| title | Certain Sequence Spaces over the Non-Newtonian Complex Field |
| title_full | Certain Sequence Spaces over the Non-Newtonian Complex Field |
| title_fullStr | Certain Sequence Spaces over the Non-Newtonian Complex Field |
| title_full_unstemmed | Certain Sequence Spaces over the Non-Newtonian Complex Field |
| title_short | Certain Sequence Spaces over the Non-Newtonian Complex Field |
| title_sort | certain sequence spaces over the non newtonian complex field |
| url | http://dx.doi.org/10.1155/2013/739319 |
| work_keys_str_mv | AT sebihatekin certainsequencespacesoverthenonnewtoniancomplexfield AT feyzibasar certainsequencespacesoverthenonnewtoniancomplexfield |