Recently P. Mache and M. W. Müller introduced the Baskakov quasi-interpolants and obtained an approximation equivalence theorem.
In this paper we consider simultaneous approximation equivalence theorem for Baskakov quasi-interpolants.
We obtain inequalities for the weighted approximation error of Baskakov type operators and their derivatives. Such inequalities
are valid for functions of polynomial growth and are expressed in terms of weighted moduli of continuity.