Baskakov-Durrmeyer算子同时逼近  

Simultaneous approximation by Baskakov-Durrmeyer operator

作　　者：毛梁成[1] 

机构地区：[1]浙江师范大学数理学院,浙江金华321004

出　　处：《宝鸡文理学院学报（自然科学版）》2007年第2期103-106,共4页Journal of Baoji University of Arts and Sciences(Natural Science Edition)

摘　　要：目的研究Baskakov-Durrmeyer算子对在[0,∞)上的导数只含有第一类间断点的函数的同时逼近。方法采用Bojanic方法、Hldr不等式及分部积分法。结果得到了Baskakov-Durrmeyer算子的i(0≤i≤r-2)阶导数的逼近速度,并说明收敛速度不可改进。结论补充了齐秋兰和郭顺生合作论文(Chinese Quart.J.Math.,2001,16(1):38-45.)中Baskakov-Durrmeyer算子的同时逼近结果。Aim To investigate the simultaneous approximation by Baskakov-Durrmeyer operator for functions with derivatives have only discontinuity points of the first kind on [0,∞]. Methods Bojanic method, Hoeldr inequality and integration by parts are used. Results The degree of i-derivative Baskakov-Durrmeyer operator i（0≤i≤r-2） is obtained, and the degree can＇t be improved. Conclusion The results of simultaneous approximation by Baskakov-Durrmeyer operator in QI Qiu-lan and GUO Shun-sheng paper （ Chinese Quart. J. Math. , 2001,16（1）：38-45. ） are renewed.

关 键 词：BASKAKOV-DURRMEYER算子 同时逼近 光滑模 

分 类 号：O174.41[理学—数学]