On $A$-statistical convergence and $A$-statistical Cauchy via idea
Copyright policy )On $A$-statistical convergence and $A$-statistical Cauchy via idea
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.
- China Medical University Taiwan
- China Medical University Hospital Taiwan
- Tafila Technical University Jordan
- Aligarh Muslim University India
\(A^{I^{\ast }}\)-statistical Cauchy convergence, $i$-convergence, $a^{i^{\ast }}$-statistical convergence, \(A^I\)-statistical Cauchy convergence, $a^{i}$-statistical convergence, Ideal and statistical convergence, \(A^I\)-statistical convergence, \(I\)-convergence, QA1-939, Summability methods using statistical convergence, \(A^{I^{\ast }}\)-statistical convergence, $a^{i}$-statistical cauchy convergence, Mathematics, $a^{i^{\ast }}$-statistical cauchy convergence
\(A^{I^{\ast }}\)-statistical Cauchy convergence, $i$-convergence, $a^{i^{\ast }}$-statistical convergence, \(A^I\)-statistical Cauchy convergence, $a^{i}$-statistical convergence, Ideal and statistical convergence, \(A^I\)-statistical convergence, \(I\)-convergence, QA1-939, Summability methods using statistical convergence, \(A^{I^{\ast }}\)-statistical convergence, $a^{i}$-statistical cauchy convergence, Mathematics, $a^{i^{\ast }}$-statistical cauchy convergence
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