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ON A THEOREM OF BERNSTEIN AND ITS APPLICATIONS TO WEIGHTED MINIMAX SERIES
Francisco Pérez Acosta
Journal of Computational Mathematics
Vol. 16, No. 6 (NOVEMBER 1998), pp. 509-520
Stable URL: http://www.jstor.org/stable/43692746
Page Count: 12
You can always find the topics here!Topics: Minimax, Approximation, Polynomials, Decreasing sequences, Mathematical theorems, Mathematical functions, Interpolation, Increasing sequences, Infinity, Degrees of polynomials
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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.
Journal of Computational Mathematics © 1998 Institute of Computational Mathematics and Scientific/Engineering Computing