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Mathematical Communications, Vol. 16 No. 2, 2011.

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

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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

https://hrcak.srce.hr/74898

Publication date:

21.12.2011.

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