1种递推的Kantorovich型算子在L_P(P>1)空间上的逼近  

Approximation on L_P (P>1)Space by a Kind of Recursive Kantorovich Type Operators

作　　者：高义[1] 

机构地区：[1]北方民族大学数学与信息科学学院,银川750021

出　　处：《河南师范大学学报（自然科学版）》2013年第5期9-12,18,共5页Journal of Henan Normal University(Natural Science Edition)

基　　金：国家自然科学基金(61261043);北方民族大学科学研究项目(2012Y033)

摘　　要：构造出1种递推的Kantorovich型算子,研究了其在LP(P>1)空间上的收敛性和逼近特征,借助Hardy-Littlewood极大函数和Jensen不等式给出了该算子更加精细的逼近度估计,进而利用Lp空间中K-泛函和积分连续模的等价性获得了该算子的收敛阶为O(1/n(1/2)).A kind of recursive Kantorovich type operators is constructed. The convergence for these operators and ap- proximation characteristics on Le （P〉 1） space are studied. Then more sophisticated estimation of degree of approximation is obtained with using Hardy-Littlewood＇s maximal function and Jensen＇s inequality. At the same time, the order of convergence is characterized by 1√-n- with the help of the equivalence of K-functional and odulus of integral continuity on Le space.

关 键 词：KANTOROVICH算子 收敛 逼近度 LP空间 

分 类 号：O174.41[理学—数学]