On Ideal Invariant Convergence of Double Sequences in Regularly Sense

Abstract

In this paper, we defined concepts of $r(\sigma,\sigma_2 )$-convergence, $r[\sigma,\sigma_2 ]$-convergence, $r[\sigma,\sigma_2 ]_p$-convergence, $r(\mathcal{I}_{\sigma},\mathcal{I}_{2}^{\sigma} )$-convergence of double sequences . Also we research the relationships among them. \newline\newline