Original scientific paper
$I_{\sigma}$-Convergence
Fatih Nuray
; Department of Mathematics, Afyon Kocatepe University, Afyonkarahisar, Turkey
Hafize Gök
; Department of Mathematics, Afyon Kocatepe University, Afyonkarahisar, Turkey
Uğur Ulusu
; Department of Mathematics, Afyon Kocatepe University, Afyonkarahisar, Turkey
Abstract
In this paper, the concepts of $\sigma$-uniform density of subsets A of the set $\mathbb{N}$ of positive integers and corresponding $I_{\sigma}$-convergence were introduced.
Furthermore, inclusion relations between $I_{\sigma}$-convergence and invariant convergence also $I_{\sigma}$-convergence and $[V_{\sigma}]_{p}$-convergence were given.
Keywords
statistical convergence; $I$-convergence; invariant convergence; strongly $\sigma$-convergence; $\sigma$-uniform density; $I_{\sigma}$-convergence
Hrčak ID:
74898
URI
Publication date:
21.12.2011.
Visits: 1.774 *