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ArticleOriginal scientific text

Title

Markov's property of the Cantor ternary set

Authors 1, 2

Affiliations

  1. Department of Mathematics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland
  2. Department of Mathematics, Michigan State University, East Lansing, Michigan 48824, U.S.A.

Abstract

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)|≤Mnm⊃E|p| for x ∈ E, where M and m are positive constants depending only on E.

Bibliography

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Studia Mathematica
1993/104/3
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Pages:
259-268
Main language of publication
English
Received
1992-04-16
Accepted
1992-11-30
Published
1993
Exact and natural sciences