广义Baskakov算子线性组合的点态逼近定理  

Theorems of pointwise approximation by linear combination of generalized Baskakov operators

作　　者：孔妮娜[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）》2008年第4期265-268,共4页Journal of Baoji University of Arts and Sciences(Natural Science Edition)

基　　金：北方民族大学科学研究基金资助项目(2005Y019)

摘　　要：目的为了研究广义Baskakov算子线性组合的点态逼近性质,进一步统一和补充以前的结果。方法引用新的r阶Ditzian-Totik光滑模ωrφλ(f,t),并借助K-泛函进行研究。结果给出了广义Baskakov算子线性组合的点态逼近定理。结论利用r阶Ditzian-Totik光滑模研究了广义Baskakov算子线性组合与所逼近函数光滑性之间的关系,得出了点态逼近定理,推广了谢林森(谢林森.Baskakov算子线性组合和导数的点态逼近定理.南京大学学报:数学半年刊,2001,18:251-260.)的结果。Aim To study proper,：ies of pointwise approximation by linear combination of generalized Baskakov operators, so the pre,：ious results are further integrated and supplemented. Methods A new r-order Ditzian-Totik modua of smoothness ωφ^rλ（f,t） and K- functionals are used. Results Theorems of pointwise approximation by linear combination of generalized Baskakov operators are given. Conclusion The relations between the combination of generalized Baskakov operators and the smoothness of the approximated functions using r-order Ditzian-Totik moduli of smoothness are studied, and the theorems of pointwise approximation which generalize the results of XIE Lin-sen in XIE Lin-sen. Pointwise approximation theorems for combinations and derivatives of Baskakov operators. Journal of Nanjing University （Mathematical Biquarterly） , 2001,18 ： 251-260.

关 键 词：广义BASKAKOV算子 线性组合 点态定理 

分 类 号：O174.41[理学—数学]