Baskakov-Kantorovich算子在紧圆盘上的复逼近性质  

Complex Approximation Properties of the Baskakov-Kantorovich Operators in Compact Disks

作　　者：李文霞 齐秋兰[1,2] Li Wenxia;Qi Qiulan(College of Mathematics a nd Information Science,Hebei Normal University,Shijiazhuang 050024;Hebei Key Laboratory of Computational Mathematics and Applications,Shijiazhuang 050024)

机构地区：[1]河北师范大学数学与信息科学学院,石家庄050024 [2]河北省计算数学与应用重点实验室,石家庄050024

出　　处：《数学物理学报（A辑）》2018年第4期641-648,共8页Acta Mathematica Scientia

基　　金：国家自然科学基金(10571040)~~

摘　　要：改进了Baskakov-Kantorovich算子在复空间的定义,研究了该算子的性质及对复空间解析函数的逼近,得到了Baskakov-Kantorovich型算子在紧圆盘上的逼近速度刻画.In this paper,the approximation properties of the modified Baskakov-Kantorovich operators are studied according to the definition and properties in the complex space.We obtain the approximation order for the modified complex Baskakov-Kantorovich operators attached to entire functions or to analytic functions in compact disks.

关 键 词：Baskakov-Kantorovich型算子 复逼近 Voronovskaja型结果 

分 类 号：O175.41[理学—数学]