On uniform f −statistical convergence of sequences of functions
We introduce the notions of uniform f −statistical convergence of sequences and uniform f −statistical Cauchy sequences of functions. The natural equivalence between these two notions, in Banach spaces, is proved. In doing so, we generalize and improve results of Gökhan and Güngör.
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| Published in: | Quaestiones mathematicae Vol. 46; no. 8; pp. 1643 - 1651 |
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| Format: | Journal Article |
| Language: | English |
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Grahamstown
Taylor & Francis
03.08.2023
Taylor & Francis Ltd |
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| ISSN: | 1607-3606, 1727-933X |
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| Abstract | We introduce the notions of uniform f −statistical convergence of sequences and uniform f −statistical Cauchy sequences of functions. The natural equivalence between these two notions, in Banach spaces, is proved. In doing so, we generalize and improve results of Gökhan and Güngör. |
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| AbstractList | We introduce the notions of uniform f −statistical convergence of sequences and uniform f −statistical Cauchy sequences of functions. The natural equivalence between these two notions, in Banach spaces, is proved. In doing so, we generalize and improve results of Gökhan and Güngör. |
| Author | Listán-García, M.C. |
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| Cites_doi | 10.4153/CJM-1973-102-9 10.2140/pjm.1981.95.293 10.1007/s00013-003-0506-9 10.4064/cm-2-3-4-241-244 10.1017/S0305004100066883 10.2969/jmsj/00510029 10.4064/cm-2-2-98-108 10.1006/jmaa.2000.6725 10.1524/anly.1985.5.4.301 10.2989/16073606.2014.981683 |
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| References | CIT0012 CIT0011 Kolk E. (CIT0010) 1991; 928 Pehlivan S. (CIT0014) 1994; 20 Gökhan A. (CIT0008) 2002; 33 Aizpuru A. (CIT0001) 2013; 19 CIT0003 CIT0002 CIT0013 CIT0005 CIT0016 CIT0004 Güngör M. (CIT0009) 2005; 19 CIT0015 CIT0007 CIT0006 |
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| Snippet | We introduce the notions of uniform f −statistical convergence of sequences and uniform f −statistical Cauchy sequences of functions. The natural equivalence... |
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| SubjectTerms | Banach spaces Convergence Density modulus function Primary: 40A35 Secondary: 46A45 statistical convergence |
| Title | On uniform f −statistical convergence of sequences of functions |
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