Baskakov-Durrmeyer算子在Orlicz空间L*Φ［0,∞)中逼近的等价定理

吉林大学学报(理学版)

Baskakov-Durrmeyer算子在Orlicz空间L^*_Φ［0,∞)中逼近的等价定理

韩领兄

内蒙古民族大学数学学院, 内蒙古通辽 028043

收稿日期:2017-02-22 出版日期:2018-03-26 发布日期:2018-03-27
通讯作者: 韩领兄 E-mail:hlx2980@163.com

Equivalent Theorem of Approximation by BaskakovDurrmeyerOperators in Orlicz Spaces L^*_Φ［0,∞)

HAN Lingxiong

College of Mathematics, Inner Mongolia University for the Nationalities, Tongliao 028043, Inner Mongolia Autonomous Region, China

Received:2017-02-22 Online:2018-03-26 Published:2018-03-27
Contact: HAN Lingxiong E-mail:hlx2980@163.com

摘要/Abstract

摘要： 在由Young函数生成的Orlicz空间L^*_Φ［0,∞)中, 考虑BaskakovDurrmeyer算子的逼近性质. 利用修正的K泛函和连续模等价性, 得到了Baskakov-Durrmeyer算子逼近的正、逆和等价定理.

关键词: BaskakovDurrmeyer算子, Young函数, K泛函, Orlicz空间

Abstract: The author considered the approximation properties of the BaskakovDurrmeyer operators in Orlicz spaces L^*_Φ［0,∞)generated by the Young function, and obtained the direct, inverse and equivalent theorem of the approximation by the BaskakovDurrmeyer operators by using the equivalence relationship between modified Kfunctional and continuous modulus.

Key words: Orlicz space, Young function, BaskakovDurrmeyer operator, Kfunctional

中图分类号:

O174.41

韩领兄. Baskakov-Durrmeyer算子在Orlicz空间L^*_Φ［0,∞)中逼近的等价定理[J]. 吉林大学学报(理学版), 2018, 56(2): 249-256.

HAN Lingxiong. Equivalent Theorem of Approximation by BaskakovDurrmeyerOperators in Orlicz Spaces L^*_Φ［0,∞)[J]. Journal of Jilin University Science Edition, 2018, 56(2): 249-256.