Bernstein型不等式与Steckin型不等式(Ⅱ)

摘要

Bernstein inequality plays an important role in approximation theory. For example,Bernstein inequality is the main tool to prove the Inverse Theorem and Embedding Theorem.This paper has established the weighted Steckin-type inequality for a general function space with respected to the derivative of a continuous function on a convex body.%Bernstein不等式在三角多项式逼近中起着非常重要的作用,比如它是证明逼近论逆定理即Steckin不等式的主要工具.文章的主要结果是在一类广义函数系中建立了加权Bernstein型不等式与关于连续函数导数的Steckin型不等式的关系.