摘要
给出了Bernstein-Durrmeyer算子对[0,1]上的有界变差函数逼近的点态收敛速度.设f(x)∈B∨[0,1],则对任意给定的x∈(0,1),当n足够大时。
In this paper,The rate of convergence of the Bernstein-Durrmeyer operator for function of Bounded Variation is studied.Thefollowing theorem is mainly proved. Theorem:Let f(x)∈B∨[0,1],B_n(f,x)is the Bernstein-Durrmeyeroperator,then for every x∈(0,1)and for n sufficiently large there existswhere
出处
《湘潭大学自然科学学报》
CAS
CSCD
1992年第1期16-22,共7页
Natural Science Journal of Xiangtan University
