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一类新型的Bernstein算子的逼近性质

Approximation of a New Family of Generalized Bernstein Operators
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摘要 利用Ditzian-Totik光滑模,研究了一类新型的Bernstein算子的逼近性质。根据经典的Bojanic-Cheng分解方法,结合分析技术,讨论了该算子对一类导数为有界变差的函数类的逼近,所得结果推广了Bojanic-Cheng的研究工作。 A direct approximation was established by means of the Ditzian-Totik modulus of smoothness.By using Bojanic-Cheng s method and analysis techniques,this paper studied the rate of convergence of this type operators for some absolutely continuous functions having a derivative equivalent to a bounded variation.The research promotes the work of Bojanic-Cheng.
作者 傅仙发 FU Xianfa(Department of Basic Course,Meizhouwan Vocational Technology College,Putian Fujian 351254,China)
出处 《莆田学院学报》 2020年第2期9-12,共4页 Journal of putian University
基金 湄洲湾职业技术学院教师教育科研项目(MZY1902)。
关键词 新型的Bernstein算子 光滑模 有界变差 a new Bernstein operators modulus of smoothness bounded variation
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