Simultaneous approximation by a new sequence of Sz?sz-Beta type operators .

摘要

In this paper, we study some direct results in simultaneous ap- proximation for a new sequence of linear positive operators M n (f (t); x) of Sz. asz–Beta type operators. First, we establish the basic pointwise convergence theorem and then proceed to discuss the Voronovaska ja-type asymptotic for- mula. Finally, we obtain an error estimate in terms of mo dulus of continuity of the function being approximated.