| 基于(p，q)-整数的一类新的Durrmeyer型Baskakov算子的收敛阶 |
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| 引用本文： | 蔡清波.基于(p，q)-整数的一类新的Durrmeyer型Baskakov算子的收敛阶[J].福州大学学报(自然科学版),2020,48(6):685-691. |
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| 作者姓名： | 蔡清波 |
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| 作者单位： | 泉州师范学院 |
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| 基金项目： | 福建省高等学校新世纪优秀人才支持计划, 泉州市高层次人才创新创业项目(2018C087R) |
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| 摘 要： | 文章引入了一类新的基于(p, q)-整数的Durrmeyer型Baskakov算子. 利用计算出的算子的矩量和中心矩量导出了该算子的加权逼近定理并利用二阶光滑模和Steklov平均得到算子的收敛阶.
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| 关 键 词： | (p q)-整数 Baskakov算子 光滑模 收敛阶 Steklov平均 |
| 收稿时间： | 2020/4/15 0:00:00 |
| 修稿时间： | 2020/5/29 0:00:00 |
Rate of Convergence of a New Family of Durrmeyer Type Baskakov Operators Based on (p, q)-integers |
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| CAI Qingbo.Rate of Convergence of a New Family of Durrmeyer Type Baskakov Operators Based on (p, q)-integers[J].Journal of Fuzhou University(Natural Science Edition),2020,48(6):685-691. |
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| Authors: | CAI Qingbo |
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| Affiliation: | Quanzhou Normal University |
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| Abstract: | In this paper, a new family of Durrmeyer type Baskakov operators based on (p, q)-integers are constructed, the estimates of some moments and central moments of these operators are obtained, weighted approximation theorems of those operators are established and the estimates on the rate of convergence by using the modulus of continuity of second order and Steklov mean are studied. |
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| Keywords: | (p q)-integers Baskakov operators modulus of continuity rate of convergence Steklov mean |
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