A basic problem of ... formula ...-Bernstein-type operators

摘要

In this note, we give an elaboration of a basic problem on convergence theorem of (p, q)-analogue of Bernstein-type operators. By some classical analysis techniques, we derive an exact class of (pn, qn)-integer satisfying limn→∞[n]pn,qn = ∞ with limn→∞pn = 1 and limn→∞qn = 1 under 0  qn  pn ≤ 1. Our results provide an erratum to corresponding results on (p, q)-analogue of Bernstein-type operators that appeared in recent literature.