Browsing by Subject "bernstein-walsh inequalities"

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Bernstein-walsh inequalities in higherdimensions over exponential curves

Kadyrov, Shirali; Lawrence, Mark (2011)

Let x = (x1; : : : ; xd) 2 [􀀀1; 1]d be linearly independent over Z, set K = f(ez; ex1z; ex2z : : : ; exdz) : jzj 1g:We prove sharp estimates for the growth of a polynomial of degree n, in terms of En(x) := supfkPk d+1 ...