Bernstein型不等式与Steckin型不等式(英文)  

Bernstein-Type and Steckin-Type Inequality(I)

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]中国计量学院信息与数学科学系,浙江杭州310018

出　　处：《杭州师范大学学报（自然科学版）》2009年第3期173-179,共7页Journal of Hangzhou Normal University(Natural Science Edition)

基　　金：Supported bythe 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.文章建立了多维加权Bernstein型不等式与Steckin型不等式的关系。Bernstein and Steckin inequalities play an important role in approximation theory. For example, Bernstein inequality is the main tool to prove the Inverse Theorem and Embedding Theorem. This paper establishes the relation between weighted Bernstein-type inequality and Steckin-type inequality in a general system of multivariate function.

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] TQ325.14[理学—基础数学]