A new construction of Lupaş operators and its approximation properties

The aim of this paper is to study a new generalization of Lupaş-type operators whose construction depends on a real-valued function ρ by using two sequences u m and v m of functions. We prove that the new operators provide better weighted uniform approximation over [ 0 , ∞ ) . In terms of weighted moduli of smoothness, we obtain degrees of approximation associated with the function ρ . Also, we prove Voronovskaya-type theorem, quantitative estimates for the local approximation.