一类满足Bernstein型不等式的函数系及其应用

The Introduction and Application for a Family of Functions Equipped with Bernstein Type Inequities

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.