Approximation properties of a new family of Gamma operators and their applications

Abstract The present paper introduces a new modification of Gamma operators that protects polynomials in the sense Bohman–Korovkin theorem. In order to examine their approximation behaviours, properties newly introduced such as Voronovskaya-type theorems, rate convergence, weighted approximation, and pointwise estimates are presented. Finally, we some numerical examples verify constructed an procedure.