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Baskakov算子加权同时逼近的点态结果
The Pointwise Results of Weighted Simultaneous Approximation by Baskakov Operator
【摘要】 引入了新的加权光滑模ω2φλ(f,t)w,利用Jacobi权函数w(x)研究了Baskakov算子的逼近性质,给出了其加权同时逼近的点态结果,进一步统一和推广了前人的结果.
【Abstract】 Using Jacobi weighted fumtion w(x),it is introduced that a new weighted moduli of smoothness ω<sup>2φλ(f,t)w to give a pointwise estimate of weighted simultaneous approximation by Baskakov operator.So the obtained results integrate and extend the previous further.
【关键词】 Baskakov算子;
同时逼近;
加权光滑模;
【Key words】 Baskakov operator; simultaneous approximation; weighted moduli of smoothness;
【Key words】 Baskakov operator; simultaneous approximation; weighted moduli of smoothness;
【基金】 河北省自然科学基金资助项目(101090)
- 【文献出处】 河北师范大学学报 , 编辑部邮箱 ,2004年04期
- 【分类号】O177
- 【被引频次】2
- 【下载频次】21