On the Four Conjectures of G G Lorentz Type in L_ρ~2[-a,a]  

关于L_ρ~2[-a,a]中G.G.Lorentz型的四个猜想(英文)

作　　者：王元恒 杨文善 

机构地区：[1]Department of Mathematics,Zhejiang Normal University [2]Department of Mathematics,Shanghai Normal University

出　　处：《Chinese Quarterly Journal of Mathematics》2009年第3期343-348,共6页数学季刊（英文版）

基　　金：Supported by the NNSF of China(10771141)

摘　　要：In the space C[-1,1],G G Lorentz proposed four conjectures on the properties of the polynomials of the best approximation in 1977,1978 and 1980.The present paper transplants the four conjectures in the space Lρ2[-a,a] and proves them being all right in only one theorem under the corresponding conditions,although each of the original conjectures is very difficulty.

关 键 词：best approximation Lorentz＇s conjecture different norms property of polynomial 

分 类 号：O412.1[理学—理论物理] O174.41[理学—物理]