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 - <p style="text-align: justify;">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.</p>