A Quantitative Estimation of an Asymptotic Representation for the Linear Positive Operators of Probabilistic Type

C.S. Cismasiu

Authors

C.S. Cismasiu Transilvania University of Brasov, Romania

Keywords:

linear positive operators of probabilistic type, least concave majorant of the first modulus of continuity, degree of approximation, Voronovskaja’s theorem

Abstract

In this paper, we will give a quantitative estimate of an asymptotic representation for the linear positive operators of probabilistic type using the least concave majorant of the first modulus of continuity of the 2k-the derivative of a 2k-1 times continuously differentiable function.