修正q-Szász-Kantorovich算子在紧圆盘的复逼近(q＞1)OACSTPCD
COMPLEX APPROXIMATION BY MODIFIED q-SZÁSZ KANTOROVICH OPERATOR IN COMPACT DISKS(q＞1)
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 when q＞1 are 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.
闫丽新;韩领兄
内蒙古民族大学数学科学学院,内蒙古通辽 028000
数学
修正q-Szász-Kantorovich算子逼近性质Voronovskaja型结果
the modified q-Szász-Kantorovich operatorApproximation propertiesVoronovskaja type results
《数学杂志》 2024 (003)
247-258 / 12
内蒙古自然科学基金项目(2020LH01007).
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