Volume 16, Issue 6
On a Theorem of Bernstein and Its Applications to Weighted Minimax Series

J. Comp. Math., 16 (1998), pp. 509-520.

Published online: 1998-12

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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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@Article{JCM-16-509, author = {Acosta , Francisco Pérez}, title = {On a Theorem of Bernstein and Its Applications to Weighted Minimax Series}, journal = {Journal of Computational Mathematics}, year = {1998}, volume = {16}, number = {6}, pages = {509--520}, 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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9178.html} }
TY - JOUR T1 - On a Theorem of Bernstein and Its Applications to Weighted Minimax Series AU - Acosta , Francisco Pérez JO - Journal of Computational Mathematics VL - 6 SP - 509 EP - 520 PY - 1998 DA - 1998/12 SN - 16 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9178.html KW - Approximation theory, polynomials, Bernstein theorem, minimax series. AB -

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.

Francisco Pérez Acosta. (1970). On a Theorem of Bernstein and Its Applications to Weighted Minimax Series. Journal of Computational Mathematics. 16 (6). 509-520. doi:
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