s-ASYMPTOTICALLY LACUNARY STATISTICAL EQUIVALENT FUNCTIONS ON AMENABLE SEMIGROUPS
We introduce the concepts of -asymptotically equivalent, -asymptotically equivalent, s-asymptotically lacunary statistical equivalent and strong -asymptotically equivalent functions defined on discrete countable amenable semigroups, and establish certain inclusion theorems.
Lacunary statistical convergence, s-convergence, amenable semigroups.
