Approximation by complex genuine hybrid operators

摘要

In the recent years several complex operators of summation-integral type have been proposed and their approximation properties have been discussed. The operators which have Baskakov or Szász basis functions have very complicated analysis. In the present article, we propose a complex hybrid operator, the special case of which provides the genuine Baskakov–Szász operators. Here we establish an upper estimate, Voronovskaja type asymptotic formula and exact order of approximation.