Bernstein型不等式与Steckin型不等式(Ⅱ)(英文)  

Bernstein-Type and Steckin-Type Inequality(Ⅱ)

作　　者：林绍波[1] 曹飞龙[2] 

机构地区：[1]杭州师范大学理学院,浙江杭州310036 [2]中国计量学院理学院,浙江杭州310018

出　　处：《杭州师范大学学报（自然科学版）》2009年第5期321-326,共6页Journal of Hangzhou Normal University(Natural Science Edition)

基　　金：Supported by the National Natural Science Foundation of China(No.60873206);the Natural Science Foundation of Zhejiang Province of China(No.Y.7080235)

摘　　要：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.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.

关 键 词：BERNSTEIN型不等式 Steckin型不等式 光滑模 

分 类 号：O174.41[理学—数学]