In this paper, we introduce a new type λ-Bernstein operators with parameter λ ∈ [−1, 1], we investigate a Korovkin type approximation theorem, establish a local approximation theorem, give a convergence theorem for the Lipschitz continuous functions, we also obtain a Voronovskaja-type asymptotic formula. Finally, we give some graphs and numerical examples to show the convergence of Bn,λ(f; x) to f(x), and we see that in some cases the errors are smaller than Bn(f) to f.
展开▼
