一类Bézier型Szász-Mirakjan-Kantorovich算子的逼近性质  

Approximation property of a class of Szász-Mirakjan-Kantorovich operators of Bézier type

作　　者：连博勇[1] LIAN Boyong(Department of Mathematics,Yang-En University,Quanzhou 362014,China)

机构地区：[1]仰恩大学数学系,福建泉州362014

出　　处：《延边大学学报（自然科学版）》2023年第3期209-211,共3页Journal of Yanbian University（Natural Science Edition）

摘　　要：研究了一类Bézier型Szász-Mirakjan-Kantorovich算子.首先,给出了该类算子的一阶、二阶中心矩;然后,利用Lipschitz型不等式得到了该类算子的范数不等式,并利用二阶连续模和K泛函讨论了该算子的逼近性质;最后,给出了该类算子对Lipschitz函数类的逼近定理.A class of Szász-Mirakjan-Kantorovich operators of Bézier type was introduced.Firstly,the first and second order central moment of the operators were given.Then,the norm inequality of the operators was obtained using Lipschitz type inequality.Thirdly,the approximation properties of this type of operators were discussed using second-order modulus of continuity and K-functional.Finally,the approximation theorem of this type of operators for the Lipschitz function class was given.

关 键 词：Szász-Mirakjan-Kantorovich算子 连续模 K泛函 LIPSCHITZ函数 逼近性质 

分 类 号：O174.41[理学—数学]