| Bernstein-Kantorovich算子线性组合同时逼近的等价定理 |
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| 引用本文： | 程丽.Bernstein-Kantorovich算子线性组合同时逼近的等价定理[J].浙江大学学报(理学版),2010,37(5):493-496. |
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| 作者姓名： | 程丽 |
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| 作者单位： | 丽水学院,数学系,浙江,丽水,323000 |
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| 基金项目： | 浙江省自然科学基金资助项目，浙江省高校重点学科资金资助项目 |
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| 摘 要： | 利用r阶Ditzian-Totik光滑模ωrφλ(f,t)(0≤λ≤1)给出了关于Bernstein-Kantorovich算子线性组合同时逼近的等价定理;同时研究了Bernstein-Kantorovich算子的高阶导数与所逼近函数高阶导数的光滑性之间的关系.
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| 关 键 词： | 同时逼近 光滑模 Bernstein-Kantorovich算子 |
Equivalent theorems on simultaneous approximation by combinations of Bernstein-Kantorovich operators |
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| CHENG Li.Equivalent theorems on simultaneous approximation by combinations of Bernstein-Kantorovich operators[J].Journal of Zhejiang University(Sciences Edition),2010,37(5):493-496. |
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| Authors: | CHENG Li |
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| Institution: | CHENG Li (Department of Mathematics,Lishui University,Lishui 323000,Zhejiang Province,China) |
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| Abstract: | The equivalent theorems are given on simultaneous approximation for the combinations of Bernstein-Kantorovich operators by r-th Ditzian-Totik modulus of smoothness ωrφλ（f,t）（0≤λ≤1）,and the relation between the derivatives of the combinations of Bernstein-Kantorovich operators and the smoothness of the derivatives of functions is also investigated. |
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| Keywords: | simultanous approximation moduli of smoothness Bernstein-Kantorovich operators |
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