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Markov—Bernstein Type Inequalities on Compact Subsets of R

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Abstract

In this paper we give Markov Bernstein type inequalities for derivative of polynomials on some subsets of R. We define two different kinds of functions measuring the density of the sets considered, and in most cases we establish sharp inequalities for the Markov—Bernstein factor at the accumulation point of the set.

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Authors and Affiliations

  1. Department of Mathematics, Texas A&M University, College Station, TX, 77843, U. S. A.

    T. Erdélyi

  2. Mathematical Institute of the Hungarian Academy of Sciences, 1364, Budapest, P. O. B. 127, Hungary e-mail

    A. Kroó

  3. Mathematical Institute of the Hungarian Academy of Sciences, 1364, Budapest, P. O. B. 127, Hungary e-mail

    J. Szabados

Authors
  1. T. Erdélyi
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  2. A. Kroó
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  3. J. Szabados
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Erdélyi, T., Kroó, A. & Szabados, J. Markov—Bernstein Type Inequalities on Compact Subsets of R. Analysis Mathematica 26, 17–34 (2000). https://doi.org/10.1023/A:1010321428564

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