Simultaneous approximation by a new sequence of SZA~SZ–beta type operators

Abstract EN

In this paper, we study some direct results in simultaneous approximation for a new sequence of linear positive operators Mn ( f (t) ; x) of sz a~Sz- Beta type operators.

First, we establish the basic point wise 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.