Simultaneous approximation by generalization of szasz type operators

Abstract EN

In the present paper, we introduce a generalization of the Summation-Integral Szãsz type operators denoted by S ̃_(n,p) (f(t);x).

First, we prove the convergence theorem for the operator.

Then, we find a recurrence relation of the m-th order moment for the operator S ̃_(n,p) (f(t);x).

Finally, we give a Voronovskaja-type asymptotic formula and an error estimate in terms of modulus of continuity of the function being approximate