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广义Baskakov算子加权逼近的正逆定理
The Direct and Inverse Theorem of Weighted Approximation by Generalized Baskakov Operator
【摘要】 引用新的加权光滑模w2φλ(f,t)w和新的Jocabi权函数w(x)=x-a(1+αx)b(0≤a<1,b≥0),研究了广义Baskakov算子,得出了其加权逼近的点态结果,进一步统一和补充了以前的结果.
【Abstract】 A new weighted moduli of smoothness w2φλ(f,t)w and a new Jocabi weighted w(x)=(x-a(1+αx)b)(0≤a<1,b>0) are studied,generalized Baskakov operator is introduced and the pointwise results of weighted approximation is obtained.So the previous results are further integreted and supplemented.
【关键词】 广义Baskakov算子;
加权逼近;
加权光滑模;
【Key words】 generalized Baskakov operator; weighted approximation; weighted moduli of smoothness;
【Key words】 generalized Baskakov operator; weighted approximation; weighted moduli of smoothness;
【基金】 河北省自然科学基金资助项目(101090);河北师范大学自然科学基金资助项目
- 【文献出处】 河北师范大学学报 , 编辑部邮箱 ,2006年01期
- 【分类号】O177
- 【被引频次】5
- 【下载频次】61