On generalization of summation-integral SZASZ operators

Abstract EN

In this paper, we introduce and study some direct results in simultaneous approximation for a generalization of Summation –Integral Szasz type operatorMn ( f (t); x) .

First, we establish the basic pointwise convergence theorem and then proceed to discuss the Voronovaskaja-type asymptotic formula.

Finally, we obtain an error estimate in terms of modulus of continuity of the function being approximated.