Table 1 Historical development of almost periodicity

Almost periodic (AP)

Bochner [1]

Asymptotic almost periodic (AAP)

Fréchet [16]

Pseudo almost periodic (PAP)

Zhang [17]

Weighted pseudo-almost periodic (WPAP)

Diagana [18]

Stepanov-like almost periodic (\(S^{p}\)AP)

Stepanov [19, 20]

Stepanov-like pseudo-almost periodic (\(S^{p}\)PAP)

Diagana [21]

Weighted Stepanov-like pseudo-almost periodic (\(S^{p}\)WPAP)

Diagana et al. [22]