摘要
利用Ditzian-Totik光滑模、二阶连续模和K泛函,研究了一类新型的Baskakov算子的逼近性质.最后讨论了这类算子对Lipschitz函数类的逼近.
The authors establish a direct approximaiton by means of the Ditzian-Totik modulus of smoothness and a global approximation theorem in terms of second order modulus of continuity.The approximation of this new type operators for the Lipschitz class functions are also obtained.
作者
连博勇
蔡清波
LIAN Bo-yong;CAI Qing-bo(Department of Mathematics,Yang-en University,Quanzhou 362014,China;School of Mathematics and Computer Science,Quanzhou Normal University,Quanzhou 362000,China)
出处
《数学的实践与认识》
北大核心
2020年第15期262-265,共4页
Mathematics in Practice and Theory
基金
国家自然科学基金(11601266)。
关键词
BASKAKOV算子
光滑模
连续模
Baskakov operators
modulus of smoothness
modulus of continuity