Szász型算子导数与光滑模的关系

An Equivalent Relation Between the Derivatives of Szasz Operators and the Modulus of Smoothness

利用Ditzian-Totik光滑模ω'λ(f;t)研究了Szasz型算子线性组合导数与它所逼近的函数的光滑性之间的关系,得到Szasz型算子线性组合导数与Ditzian-Totik光滑模的等价定理。

In this paper, by using the Ditzian - Totik modulus ω′ψλ（f;t） we study the relationship between the derivatives of the linear combinations of the Szász- type operators and the smoothness of the function the linear combinations of the Szász - type operators approximates to. We＇ve got the equivalent theorem between the derivatives of the linear combinations of the Szász- type operators and the Ditzian- Totik modulus.