摘要
Bernstein不等式在逼近论逆定理的证明中起着非常重要的作用.该文对一类比较广泛的函数系Fn建立了Bernstein型不等式,讨论了该不等式与逼近论逆定理的关系,并进一步给出了该不等式的若干应用.
The Bernstein inequality plays an very important role in proving the inverse theory of Approximation Theorem. This paper establishes the Bernstein inequality on a more general family of functions, discusses the relationship between this inequality and the inverse theory, and studies some applications of this relationship.
出处
《杭州师范大学学报（自然科学版）》
CAS
2008年第6期409-414,共6页
Journal of Hangzhou Normal University(Natural Science Edition)
关键词
BERNSTEIN型不等式
逆定理
光滑模
连续模
Bernstein-type inequality
inverse theory
moduli of smoothness
moduli of continuity
