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Sakai, R. A Study of Weighted Polynomial Approximations with Several Variables (I). Applied Mathematics. (Unpublished)

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

  AUTHORS: Ryozi Sakai

  KEYWORDS: Weighted Polynomial Approximations, the Lagrange Interpolation, the Best of Approximation, Inequalities

  JOURNAL NAME: Applied Mathematics, Vol.8 No.9, September 6, 2017

  ABSTRACT: 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.