On Rough $\mathcal{I}$-Convergence and $\mathcal{I}$-Cauchy Sequence for Functions Defined on Amenable Semigroups
In this paper, firstly we introduced the concepts of rough $\mathcal{I}$-convergence, rough $\mathcal{I}^*$-convergence, rough $\mathcal{I}$-Cauchy sequence, and rough $\mathcal{I}^*$-Cauchy sequence of a function defined on discrete countable amenable semigroups. Then, we investigated the relations...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Emrah Evren KARA
2023-07-01
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| Series: | Universal Journal of Mathematics and Applications |
| Subjects: | |
| Online Access: | https://dergipark.org.tr/tr/download/article-file/3160399 |
| _version_ | 1797354913400881152 |
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| author | Erdinç Dündar Uğur Ulusu |
| author_facet | Erdinç Dündar Uğur Ulusu |
| author_sort | Erdinç Dündar |
| collection | DOAJ |
| description | In this paper, firstly we introduced the concepts of rough $\mathcal{I}$-convergence, rough $\mathcal{I}^*$-convergence, rough $\mathcal{I}$-Cauchy sequence, and rough $\mathcal{I}^*$-Cauchy sequence of a function defined on discrete countable amenable semigroups. Then, we investigated the relations between them. |
| first_indexed | 2024-03-08T13:56:40Z |
| format | Article |
| id | doaj.art-f698ff569b14409384fe1d793338f4d8 |
| institution | Directory Open Access Journal |
| issn | 2619-9653 |
| language | English |
| last_indexed | 2024-03-08T13:56:40Z |
| publishDate | 2023-07-01 |
| publisher | Emrah Evren KARA |
| record_format | Article |
| series | Universal Journal of Mathematics and Applications |
| spelling | doaj.art-f698ff569b14409384fe1d793338f4d82024-01-15T15:13:35ZengEmrah Evren KARAUniversal Journal of Mathematics and Applications2619-96532023-07-0162869010.32323/ujma.13012591225On Rough $\mathcal{I}$-Convergence and $\mathcal{I}$-Cauchy Sequence for Functions Defined on Amenable SemigroupsErdinç Dündar0Uğur Ulusu1AFYON KOCATEPE ÜNİVERSİTESİSİVAS CUMHURİYET ÜNİVERSİTESİIn this paper, firstly we introduced the concepts of rough $\mathcal{I}$-convergence, rough $\mathcal{I}^*$-convergence, rough $\mathcal{I}$-Cauchy sequence, and rough $\mathcal{I}^*$-Cauchy sequence of a function defined on discrete countable amenable semigroups. Then, we investigated the relations between them.https://dergipark.org.tr/tr/download/article-file/3160399amenable semigroupsfolner sequenceideal cauchy sequenceideal convergencerough convergence |
| spellingShingle | Erdinç Dündar Uğur Ulusu On Rough $\mathcal{I}$-Convergence and $\mathcal{I}$-Cauchy Sequence for Functions Defined on Amenable Semigroups Universal Journal of Mathematics and Applications amenable semigroups folner sequence ideal cauchy sequence ideal convergence rough convergence |
| title | On Rough $\mathcal{I}$-Convergence and $\mathcal{I}$-Cauchy Sequence for Functions Defined on Amenable Semigroups |
| title_full | On Rough $\mathcal{I}$-Convergence and $\mathcal{I}$-Cauchy Sequence for Functions Defined on Amenable Semigroups |
| title_fullStr | On Rough $\mathcal{I}$-Convergence and $\mathcal{I}$-Cauchy Sequence for Functions Defined on Amenable Semigroups |
| title_full_unstemmed | On Rough $\mathcal{I}$-Convergence and $\mathcal{I}$-Cauchy Sequence for Functions Defined on Amenable Semigroups |
| title_short | On Rough $\mathcal{I}$-Convergence and $\mathcal{I}$-Cauchy Sequence for Functions Defined on Amenable Semigroups |
| title_sort | on rough mathcal i convergence and mathcal i cauchy sequence for functions defined on amenable semigroups |
| topic | amenable semigroups folner sequence ideal cauchy sequence ideal convergence rough convergence |
| url | https://dergipark.org.tr/tr/download/article-file/3160399 |
| work_keys_str_mv | AT erdincdundar onroughmathcaliconvergenceandmathcalicauchysequenceforfunctionsdefinedonamenablesemigroups AT ugurulusu onroughmathcaliconvergenceandmathcalicauchysequenceforfunctionsdefinedonamenablesemigroups |