Markov's property of the Cantor ternary set
Tom 104 / 1993
Studia Mathematica 104 (1993), 259-268
DOI: 10.4064/sm-104-3-259-268
Streszczenie
We prove that the Cantor ternary set E satisfies the classical Markov inequality (see [Ma]): for each polynomial p of degree at most n (n = 0, 1, 2,...) (M) $|p'(x)| ≤ Mn^{m} sup_{E}|p|$ for x ∈ E, where M and m are positive constants depending only on E.
