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- W1979217093 abstract "Let X and Y be real normed linear spaces and let φ: X → R be a non-negative function satisfying φ( x + y ) ≤ φ( x ) + ‖ y ‖ for all x , y ∈ X . We show that there exist optimal constants c m , k such that if P : X → Y is any polynomial satisfying ‖ P ( x )‖ ≤ φ( x ) m for all x ∈ X , then ‖ D ̂ k P ( x )‖ ≤ c m , k φ( x ) m − k whenever x ∈ X and 0 ≤ k ≤ m . We obtain estimates for these constants and present applications to polynomials and multilinear mappings in normed spaces." @default.
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- W1979217093 date "1997-04-01" @default.
- W1979217093 modified "2023-09-27" @default.
- W1979217093 title "A Bernstein–Markov Theorem for Normed Spaces" @default.
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- W1979217093 doi "https://doi.org/10.1006/jmaa.1997.5339" @default.
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