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关于广义Durrmeyer-Bézier算子的L_p逼近
The L_p-Approximation by Generalized Durrmeyer-Bzier Operator
【摘要】 讨论了广义Durrmeyer Bzier算子Dn,α(f,x),α>0,在Lp[0,1]上对f的逼近度.利用二阶光滑模给出了α>0,p≥1时的结果,另外利用Hardy LittleWood极大函数给出了当α>0,p>1时的一个更加简洁的结果.
【Abstract】 In the case of α>0,p≥1,the approximation properties of Generalized Durrmeyer-Bzier Operator Dn,α(f,x) in Lp[0,1] were studied in this paper by using modulus of smoothness,and in the case α>0,p>0,another more concise result was given by using Hardy-LittleWood maximum function.
【关键词】 广义DurrmeyerBzier算子;
连续模;
二阶光滑模;
HardyLittleWood极大函数;
K泛函;
【Key words】 generalized Durrmeyer-Bzier operator; modulus of continuity; second order modulus of smoothness; Hardy-LittleWood maximum function; K-functional;
【Key words】 generalized Durrmeyer-Bzier operator; modulus of continuity; second order modulus of smoothness; Hardy-LittleWood maximum function; K-functional;
【基金】 国家自然科学基金(19871068);福建省自然科学基金(A0210004)资助
- 【文献出处】 厦门大学学报(自然科学版) ,Journal of Xiamen University(Natural Science) , 编辑部邮箱 ,2004年06期
- 【分类号】O241.5
- 【被引频次】7
- 【下载频次】51