Markov's property of the Cantor ternary set
Studia Mathematica, Tome 104 (1993) no. 3, pp. 259-268
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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.
@article{10_4064_sm_104_3_259_268,
author = {Leokadia Bia{\l}as},
title = {Markov's property of the {Cantor} ternary set},
journal = {Studia Mathematica},
pages = {259--268},
publisher = {mathdoc},
volume = {104},
number = {3},
year = {1993},
doi = {10.4064/sm-104-3-259-268},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-104-3-259-268/}
}
TY - JOUR AU - Leokadia Białas TI - Markov's property of the Cantor ternary set JO - Studia Mathematica PY - 1993 SP - 259 EP - 268 VL - 104 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/sm-104-3-259-268/ DO - 10.4064/sm-104-3-259-268 LA - en ID - 10_4064_sm_104_3_259_268 ER -
Leokadia Białas. Markov's property of the Cantor ternary set. Studia Mathematica, Tome 104 (1993) no. 3, pp. 259-268. doi: 10.4064/sm-104-3-259-268
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