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ON A THEOREM OF BERNSTEIN AND ITS APPLICATIONS TO WEIGHTED MINIMAX SERIES

ON A THEOREM OF BERNSTEIN AND ITS APPLICATIONS TO WEIGHTED MINIMAX SERIES
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摘要 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. 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.
出处 《Journal of Computational Mathematics》 SCIE CSCD 1998年第6期509-520,共12页 计算数学(英文)
关键词 Approximation theory POLYNOMIALS Bernstein theorem minimax series. Approximation theory, polynomials, Bernstein theorem, minimax series.
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