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| 二元非乘积型广义Baskakov算子的逼近逆定理 | |
| 引用本文： | 高义. 二元非乘积型广义Baskakov算子的逼近逆定理[J]. 宝鸡文理学院学报(自然科学版), 2010, 30(2): 13-16. DOI: 10.3969/j.issn.1007-1261.2010.02.004 |
| 作者姓名： | 高义 |
| 作者单位： | 北方民族大学信息与计算科学学院,宁夏,银川,750021 |
| 基金项目： | 宁夏自然科学基金项目资助，北方民族大学科学研究项目资助 |
| 摘 要： | 目的 研究二元非乘积型广义Baskakov算子的逼近逆定理.方法 利用多元分解技巧.结果 在已有关于二元非乘积型广义Baskakov算子逼近正定理的基础上,给出该算子在局部意义下的逼近逆定理.结论 该结果刻画了其在经典空间中局部意义下的逼近特征. |
| 关 键 词： | Baskakov算子 收敛 逆定理 逼近 |
Inverse theorem of approximation by a kind of two-dimensional non-product-type generalized Baskakov operators |
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| GAO Yi. Inverse theorem of approximation by a kind of two-dimensional non-product-type generalized Baskakov operators[J]. Journal of Baoji College of Arts and Science(Natural Science Edition), 2010, 30(2): 13-16. DOI: 10.3969/j.issn.1007-1261.2010.02.004 | |
| Authors: | GAO Yi |
| Affiliation: | GAO Yi(School of Information and Computation Science,North University for Nationalities,Yinchuan 750021,Ningxia,China) |
| Abstract: | Aim The inverse theorems of approximation by a kind of two-dimensional non-product-type generalized Baskakov operators are investigated.Methods The multivariate decomposition technique is used.Results A locally inverse theorem of approximation by a kind of two-dimensional non-product-type generalized Baskakov operators is obtained based on some results of the operators.Conclusion The new result characterizes the approximation properties on the classical space in the local sense. |
| Keywords: | Baskakov operators convergence inverse theorem approximation |
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