Pointwise Approximation Properties For The Derivatives Of Baskakov-Kantorovich Operators

In this paper,firstly,we introduce a new operator Kn,s(f,x) by using the derivatives of Baskakov - Kantorovich operators Kn(f,x):where . we give pointwise equivalent approximation theorems for combinations of these new operators Kn,s(f,r,s): for ,we haveSecondly,by using the above results ,we obtain the relation between higher-order derivatives of Baskakov-Kantorovich operators and the smoothness property of the functions which are approximated :for ,if there is a B> 0,such that...