On a Theorem of Bernstein and Its Applications to Weighted Minimax Series

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Abstract

In this paper, some results about approximation in a norm $S$ induced by the minimax series are studied. Then a Bernstein-type theorem for the norm $S$ is established. Finally the Bernstein theorem is applied to prove the existence of certain equalities with minimax series and weighted minimax series.

Keywords:

Approximation theory polynomials Bernstein theorem minimax series.
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On a Theorem of Bernstein and Its Applications to Weighted Minimax Series. (2021). Journal of Computational Mathematics, 16(6), 509-520. https://www.global-sci.com/index.php/JCM/article/view/11296