| 摘要: |
| 本文给出了修正q-Szász-Kantorovich算子在复空间的定义,参照Gal SG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. |
| 关键词: 修正q-Szász-Kantorovich算子 逼近性质 Voronovskaja型结果 |
| DOI： |
| 分类号:O174.41 |
| 基金项目:内蒙古自然科学基金项目(2020LH01007). |
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| COMPLEX APPROXIMATION BY MODIFIED q-SZÁSZ KANTOROVICH OPERATOR IN COMPACT DISKS(q＞1) |
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YAN Li-xin, HAN Ling-xiong
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School of Mathematical Sciences, Inner Mongolia Minzu University, Tongliao 028000, China
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| Abstract: |
| 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. |
| Key words: the modified q-Szász-Kantorovich operator Approximation properties Voronovskaja type results |
