一类推广的Kantorovich算子的线性组合在Orlicz空间内的逼近  

The approximation of a kind of linear combination of generalized Kantorovich operator in Orlicz spaces

作　　者：邓雪莉[1] 吴嘎日迪[1] 

机构地区：[1]内蒙古师范大学数学科学学院,内蒙古呼和浩特010022

出　　处：《宝鸡文理学院学报（自然科学版）》2013年第2期5-8,共4页Journal of Baoji University of Arts and Sciences(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11161033);内蒙古师范大学人才工程基金资助项目(RCPY-2-2012-K-036)

摘　　要：目的讨论一类推广的Kantorovich算子的线性组合在Orlicz空间内的逼近问题。方法利用了光滑模和K-泛函等工具。结果对这一类推广的Kantorovich算子的线性组合的范数等进行讨论,得到了相应的性质。结论得到了该组合算子在Orlicz空间内的收敛阶的估计。Objective-To study the approximation problem of a kind of linear combination of gen-eralized Kantorovich operator in Orlicz spaces. Methods-Such tools like K-functional and modulus of smoothness are used. Results-Through investigating the norm of a linear combination of the general-ized Kantorovich operator, some related properties are obtained. Conclusion-The convergence order of the combination operator in Orlicz spaces is gained.

关 键 词：推广的Kantorovich算子 线性组合 ORLICZ空间 逼近性质 

分 类 号：O174.41[理学—数学]