\(\mathcal{I}\)-STATISTICAL CONVERGENCE OF COMPLEX UNCERTAIN SEQUENCES IN MEASURE
The main aim of this paper is to present and explore some of properties of the concept of \(\mathcal{I}\)-statistical convergence in measure of complex uncertain sequences. Furthermore, we introduce the concept of \(\mathcal{I}\)-statistical Cauchy sequence in measure and study the relationships bet...
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| Format: | Article |
| Language: | English |
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Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin, Krasovskii Institute of Mathematics and Mechanics
2024-12-01
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| Series: | Ural Mathematical Journal |
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| Online Access: | https://umjuran.ru/index.php/umj/article/view/731 |
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| _version_ | 1849250961182162944 |
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| author | Amit Halder Shyamal Debnath |
| author_facet | Amit Halder Shyamal Debnath |
| author_sort | Amit Halder |
| collection | DOAJ |
| description | The main aim of this paper is to present and explore some of properties of the concept of \(\mathcal{I}\)-statistical convergence in measure of complex uncertain sequences. Furthermore, we introduce the concept of \(\mathcal{I}\)-statistical Cauchy sequence in measure and study the relationships between different types of convergencies. We observe that, in complex uncertain space, every \(\mathcal{I}\)-statistically convergent sequence in measure is \(\mathcal{I}\)-statistically Cauchy sequence in measure, but the converse is not necessarily true. |
| format | Article |
| id | doaj-art-94dea48a415c45e29073fd03843e2007 |
| institution | Kabale University |
| issn | 2414-3952 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin, Krasovskii Institute of Mathematics and Mechanics |
| record_format | Article |
| series | Ural Mathematical Journal |
| spelling | doaj-art-94dea48a415c45e29073fd03843e20072025-08-20T03:57:07ZengUral Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin, Krasovskii Institute of Mathematics and MechanicsUral Mathematical Journal2414-39522024-12-0110210.15826/umj.2024.2.007221\(\mathcal{I}\)-STATISTICAL CONVERGENCE OF COMPLEX UNCERTAIN SEQUENCES IN MEASUREAmit Halder0Shyamal Debnath1Department of Mathematics, Tripura University (A Central University), Suryamaninagar-799022, AgartalaDepartment of Mathematics, Tripura University (A Central University), Suryamaninagar-799022, AgartalaThe main aim of this paper is to present and explore some of properties of the concept of \(\mathcal{I}\)-statistical convergence in measure of complex uncertain sequences. Furthermore, we introduce the concept of \(\mathcal{I}\)-statistical Cauchy sequence in measure and study the relationships between different types of convergencies. We observe that, in complex uncertain space, every \(\mathcal{I}\)-statistically convergent sequence in measure is \(\mathcal{I}\)-statistically Cauchy sequence in measure, but the converse is not necessarily true.https://umjuran.ru/index.php/umj/article/view/731\(\mathcal{i}\)-convergence, \(\mathcal{i}\)-statistical convergence, uncertainty theory, complex uncertain variable |
| spellingShingle | Amit Halder Shyamal Debnath \(\mathcal{I}\)-STATISTICAL CONVERGENCE OF COMPLEX UNCERTAIN SEQUENCES IN MEASURE Ural Mathematical Journal \(\mathcal{i}\)-convergence, \(\mathcal{i}\)-statistical convergence, uncertainty theory, complex uncertain variable |
| title | \(\mathcal{I}\)-STATISTICAL CONVERGENCE OF COMPLEX UNCERTAIN SEQUENCES IN MEASURE |
| title_full | \(\mathcal{I}\)-STATISTICAL CONVERGENCE OF COMPLEX UNCERTAIN SEQUENCES IN MEASURE |
| title_fullStr | \(\mathcal{I}\)-STATISTICAL CONVERGENCE OF COMPLEX UNCERTAIN SEQUENCES IN MEASURE |
| title_full_unstemmed | \(\mathcal{I}\)-STATISTICAL CONVERGENCE OF COMPLEX UNCERTAIN SEQUENCES IN MEASURE |
| title_short | \(\mathcal{I}\)-STATISTICAL CONVERGENCE OF COMPLEX UNCERTAIN SEQUENCES IN MEASURE |
| title_sort | mathcal i statistical convergence of complex uncertain sequences in measure |
| topic | \(\mathcal{i}\)-convergence, \(\mathcal{i}\)-statistical convergence, uncertainty theory, complex uncertain variable |
| url | https://umjuran.ru/index.php/umj/article/view/731 |
| work_keys_str_mv | AT amithalder mathcalistatisticalconvergenceofcomplexuncertainsequencesinmeasure AT shyamaldebnath mathcalistatisticalconvergenceofcomplexuncertainsequencesinmeasure |