In this note we present the definition, examples and some properties of quasi N-almost periodic functions, i. e. certain almost periodic functions in the sense of Levitan.
In this note we present some theorems on the superposition of an \((NV_p)\)-almost periodic (a.p. for short) function, a \(\mu\)-a.p. function and an \((N\mu)\)-a.p. function. Moreover, we prove a theorem on the bounded primary function of an \((NS_p)\)-a.p. function. Finally, we prove that the inverse of a \(V_p\)-a.p. function is \((NV_p)\)-a.p.