二元非乘积型广义Baskakov算子的逼近逆定理  

Inverse theorem of approximation by a kind of two-dimensional non-product-type generalized Baskakov operators

作　　者：高义[1] 

机构地区：[1]北方民族大学信息与计算科学学院,宁夏银川750021

出　　处：《宝鸡文理学院学报（自然科学版）》2010年第2期13-16,共4页Journal of Baoji University of Arts and Sciences(Natural Science Edition)

基　　金：宁夏自然科学基金项目资助(NZ0846);北方民族大学科学研究项目资助(2008Y029)

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。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.

关 键 词：BASKAKOV算子 收敛 逆定理 逼近 

分 类 号：O174.41[理学—数学]