The rate of convergence of a generalization of Post–Widder operators and Rathore operators

Abstract In this paper, we study local approximation properties of certain gamma-type operators. They generalize the Post–Widder operators and Rathore operators, approximate locally integrable functions satisfying a growth condition on infinite interval $$[0,\infty )$$ [ 0 , ∞ ) . We derive complete asymptotic expansion for these prove localization result. Also, estimate rate convergence bounded variation.