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General Markov-Bernstein and Nikolskii type inequalities

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Approximation Theory and its Applications

Abstract

In this paper, we demonstrate how the continuity properties of the logarithmic potential of certain equilibrium measure leads to very general polynomial inequalities. Typical inequalities considered are those which estimate the norm of the derivative of a polynomial in terms of the norm of the polynomial itself and those which compare different norms of the same polynomial.

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Authors and Affiliations

  1. Department of Mathematics, California State University, 90032, Los Angeles, CA, U.S.A.

    H. N. Mhaskar

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  1. H. N. Mhaskar
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Mhaskar, H.N. General Markov-Bernstein and Nikolskii type inequalities. Approx. Theory & its Appl. 6, 107–117 (1990). https://doi.org/10.1007/BF02836312

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  • DOI: https://doi.org/10.1007/BF02836312

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