摘要
本文给出了修正q-Szász-Kantorovich算子在复空间的定义,参照Gal S G等人在文献[10]的方法,研究了当q>1时修正q-Szász-Kantorovich算子在紧圆盘对解析函数的逼近性质,获得了Voronovskaja结果,并给出其精确估计,丰富了修正q-Szász-Kantorovich算子在复空间的逼近性质.
In this paper,the definition of the modified q-Szász-Kantorovich operator in complex spaces is given,referring to the method of Gal S G et al.[10],and the approximation properties of the modified q-Szász-Kantorovich operator in compact disks whenq>1are studied.Voronovskaja results are obtained,and their exact estimates are given,which enrich the approximation properties of the modified q-Szász-Kantorovich operator in complex spaces.
作者
闫丽新
韩领兄
YAN Li-xin;HAN Ling-xiong(School of Mathematical Sciences,Inner Mongolia Minzu University,Tongliao 028000,China)
出处
《数学杂志》
2024年第3期247-258,共12页
Journal of Mathematics
基金
内蒙古自然科学基金项目(2020LH01007)。
