Let f be a function from Rp to Rq and let A be a finite set of pairs (θ, η) ϵ Rp × Rq. Assume that the real-valued function η, f(x) is Lipschitz continuous in the direction θ for every (θ, η) ϵ Λ.

The main object of this paper is to construct a new Durrmeyer variant of the λ-Bernstein type operators which have better features than the classical one. Some results concerning the rate of ...