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- W193410669 abstract "Given a trinomial of the form p(x) = ax(m) + bx(n) + c with a, b, c is an element of R, we obtain, explicitly, the best possible constant M.,,(x) in the inequality vertical bar p'(x)vertical bar <= M-m,M-n(x).parallel to p parallel to, where x is an element of [-1, 1] is fixed and parallel to p parallel to is the sup norm of p over [-1, 1]. This answers a question to an old problem, first studied by Markov, for a large family of trinomials. We obtain the mappings M-m,M-n(x) by means of classical convex analysis techniques, in particular, using the Krein-Milman approach." @default.
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- W193410669 date "2008-01-01" @default.
- W193410669 modified "2023-09-22" @default.
- W193410669 title "An application of the Krein-Milman theorem to Bernstein and Markov inequalities" @default.
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