Abstract
In this study we define the notions of asymptotically paper, we introduce the concept of Iasymptotically statistical equivalent and I-asymptotically lacunary statistical equivalent functions defined on discrete countable amenable semigroups. In addition to these definitions, we give some inclusion theorems.
Highlights
Fast [5] presented an interesting generalization of the usual sequential limit which he called statistical convergence for number sequences
In this study we define the notions of asymptotically paper, we introduce the concept of Iasymptotically statistical equivalent and I-asymptotically lacunary statistical equivalent functions defined on discrete countable amenable semigroups
Iσ-convergence and [Vσ]p-convergence were given. They introduced the concept of Iσ-statistical convergence and Iσ-lacunary statistical convergence of functions defined on discrete countable amenable semigroups
Summary
Fast [5] presented an interesting generalization of the usual sequential limit which he called statistical convergence for number sequences. They introduced the concept of Iσ-statistical convergence and Iσ-lacunary statistical convergence of functions defined on discrete countable amenable semigroups. Kisi and Guler [11] introduced the concepts of Sσ-asymptotically equivalent, Sσ,λ-asymptotically equivalent, σ-asymptotically lacunary statistical equivalent and strong (σ, θ)-asymptotically equivalent functions defined on discrete countable amenable semigroups.
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