Markov's property of the Cantor ternary set

• Autorzy: Leokadia Białas , Alexander Volberg
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 41A17: Inequalities in approximation (Bernstein, Jackson, Nikol\cprime ski{\u\i}-type inequalities)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1993
• Tom: 104
• Numer: 3
• Strony: 259-268

Daty

wydano

1993

otrzymano

1992-04-16

poprawiono

1992-11-30

Twórcy

autor

Leokadia Białas

• Department of Mathematics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland

autor

Alexander Volberg

• Department of Mathematics, Michigan State University, East Lansing, Michigan 48824, U.S.A.

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