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

作　　者：庄云标[1] 

机构地区：[1]台州学院数学系,浙江临海317000

出　　处：《台州学院学报》2006年第3期8-10,共3页Journal of Taizhou University

摘　　要：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.

关 键 词：Szász型算子线性组合 DITZIAN-TOTIK光滑模 导数 等价关系 

分 类 号：O177[理学—数学]