Construction of a new modification of Baskakov operators on (0,∞)

Abstract

In this manuscript, we construct new modification of Baskakov operators on (0,∞) using the second central moment of the classical Baskakov operators. And the moments and the central moments computation formulas and their quantitative properties are computed. Then, rate of convergence, point-wise estimates, weighted approximation and Voronovskaya type theorem for the new operators are established. Also, Kantorovich and Durrmeyer type generalizations are discussed. Finally, some graphs and numerical examples are showed by using Matlab algorithms.