In this note, we give an elaboration of a basic problem on convergence theorem of [Formula: see text]-analogue of Bernstein-type operators. By some classical analysis techniques, we derive an exact class of [Formula: see text]-integer satisfying [Formula: see text] with [Formula: see text] and [Formula: see text] under [Formula: see text]. Our results provide an erratum to corresponding results on [Formula: see text]-analogue of Bernstein-type operators that appeared in recent literature.
Keywords: Bernstein-type approximation; [Formula: see text]-integer; convergence theorem; equivalent condition.