Asymptotically I-Statistical Equivalent Functions Defined on Amenable Semigroups
1Afyon Kocatepe University, Department of Mathematics, AFYONKARAHISAR
2Alanya Alaaddin Keykubat University, Department of Mathematics and Science Education, Alanya, ANTALYA
2Alanya Alaaddin Keykubat University, Department of Mathematics and Science Education, Alanya, ANTALYA
Sigma J Eng Nat Sci 2019; 37(4): 1367-1373
Abstract
In this study, we introduce the notions of asymptotically ℐ-equivalence, asymptotically ℐ∗-equivalence, asymptotically strongly ℐ-equivalence and asymptotically ℐ-statistical equivalence for functions defined on discrete countable amenable semigroups. Also, we examine some properties of these notions and relationships between them.
Keywords: Statistical convergence, ideal convergence, asymptotically equivalence, folner sequence, amenable semigroups.
