A Study of Weighted Polynomial Approximations with Several Variables (II)  

作　　者：Ryozi Sakai 

机构地区：[1]Department of Mathematics, Meijo University, Tenpaku-ku, Nagoya, Japan

出　　处：《Applied Mathematics》2017年第9期1239-1256,共18页应用数学（英文）

摘　　要：In this paper we investigate weighted polynomial approximations with several variables. Our study relates to the approximation for by weighted polynomial. Then we will give some results relating to the Lagrange interpolation, the best approximation, the Markov-Bernstein inequality and the Nikolskii- type inequality.In this paper we investigate weighted polynomial approximations with several variables. Our study relates to the approximation for by weighted polynomial. Then we will give some results relating to the Lagrange interpolation, the best approximation, the Markov-Bernstein inequality and the Nikolskii- type inequality.

关 键 词：WEIGHTED POLYNOMIAL APPROXIMATIONS the LAGRANGE INTERPOLATION the Best of Approximation INEQUALITIES 

分 类 号：O1[理学—数学]