关于广义Durrmeyer-Bézier算子的L_p逼近

The L_p-Approximation by Generalized Durrmeyer-Bzier Operator

讨论了广义Durrmeyer Bzier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.

In the case of α>0,p≥1,the approximation properties of Generalized Durrmeyer-Bzier Operator D_(n,α)(f,x) in L_p[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.