Baskakov型算子在H?lder空间的逼近性质  

THE APPROXIMATION PROPERTIES BY BASKAKOV-TYPE OPERATORS IN H?LDER SPACE

作　　者：李文霞 齐秋兰[1] Li Wenxia;Qi Qiulan(College of Mathematics and Information Science,Hebei Normal University,Shijiazhuang 050024)

机构地区：[1]河北师范大学数学与信息科学学院,石家庄050024

出　　处：《南京大学学报（数学半年刊）》2018年第1期44-53,共10页Journal of Nanjing University(Mathematical Biquarterly)

基　　金：国家自然科学基金(11571089)的资助项目

摘　　要：关于H?lder(Lipschitz)范数下,不同逼近过程的收敛速度,已有许多有趣的结果.近年来,有关一些著名算子在H?lder空间的逼近定理的研究,引起人们的关注·本文主要研究Baskakov型算子在H?lder空间的应用,利用连续模与K-泛函的等价性,得到了Baskakov型算子在H?lder空间的逼近正定理.In the case of the Holder(Lipschitz)norm,there are many interesting results on the convergence rate of different approximation processes.In recent years,the study of the approximation theorems of some well-known operators in the H¨older spaces has attracted people’s attention.In this paper,the application of Baskakov-type operators in the Holder space was discussed.Using the equivalent relation between the modulus of continuity and K-functional,the direct approximation of continuous functions in the Holder norms by Baskakov-type operators was obtained.

关 键 词：BASKAKOV型算子 Holder空间 连续模 K-泛函 

分 类 号：O175.41[理学—数学]