On $A$-statistical convergence and $A$-statistical Cauchy via ideal
| Autor: | O.H. Edely, M. Mursaleen |
|---|---|
| Jazyk: | English<br />Ukrainian |
| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Karpatsʹkì Matematičnì Publìkacìï, Vol 14, Iss 2, Pp 442-452 (2022) |
| Druh dokumentu: | article |
| ISSN: | 2075-9827 2313-0210 |
| DOI: | 10.15330/cmp.14.2.442-452 |
| Popis: | In [Analysis 1985, 5 (4), 301-313], J.A. Fridy proved an equivalence relation between statistical convergence and statistical Cauchy sequence. In this paper, we define $A^{I^{\ast }}$-statistical convergence and find under certain conditions, that it is equivalent to $A^{I}$-statistical convergence defined in [Appl. Math. Lett. 2012, 25 (4), 733-738]. Moreover, we define $A^{I}$- and $A^{I^{\ast }}$-statistical Cauchy sequences and find some equivalent relation with $A^{I}$- and $A^{I^{\ast }}$-statistical convergence. |
| Databáze: | Directory of Open Access Journals |
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