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A Study of Weighted Polynomial Approximations with Several Variables (II)
Department of Mathematics, Meijo University, Tenpaku-ku, Nagoya, Japan
- 1 Department of Mathematics, Meijo University, Tenpaku-ku, Nagoya, Japan
Applied Mathematics·Volume 08 (2017)·Pages 1239–1256·Published 5 September 2017·DOI10.4236/am.2017.89093
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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.
KeywordsWeighted Polynomial Approximationsthe Lagrange Interpolationthe Best of ApproximationInequalities
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