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| 摘要: |
| 本文研究复q-Bernstein-Durrmeyer型算子在紧圆盘上的同时逼近和在封闭单位圆盘上的Voronovskaja型定理,给出了q-Bernstein-Durrmeyer 型算子在紧圆盘对解析函数的等价定理.结果表明 q-Bernstein-Durrmeyer型算子从实空间扩展到复平面中的紧圆盘扩展了逼近性质. |
| 关键词: q-Bernstein-Durrmeyer 算子 等价定理 Voronovskaja型定理 |
| DOI： |
| 分类号:O174.41 |
| 基金项目: |
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| Equivalence of Complex approximation by q-Berstein-Durrmeyer operator in compact disks(0 < q < 1) |
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jiayixin,hanlingxiong
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| Abstract: |
| In this paper, we study the simultaneous approximation of complex q-BernsteinDurrmeyer operators in compact disks and the theorems of Voronovskaja type on closed unit disks.The results show that the extension of complex q-Bernstein-Durrmeyer operators from real space to compact disks in the complex plane extends the approximation property. |
| Key words: q-Bernstein-Durrmeyer operator Equivalence theorem Voronovskaja type results |
