Computational Methods and Function Theory 5 (2005), No. 2, 347--363
Copyright Heldermann Verlag 2005
Remez-Type Inequalities in Terms of Linear Measure
Vladimir V. Andrievskii
email@example.com , Department of Mathematical Sciences, Kent State University, Kent, OH 44242, U.S.A.
firstname.lastname@example.org , Mathematisches Institut, Universität Würzburg, Am Hubland, 97074 Würzburg, Germany.
We obtain sharp uniform bounds for an exponential Q of a logarithmic potential on a quasi-smooth curve (in the sense of Lavrentiev) in terms of the linear measure of the subset of that curve on which Q is bounded by 1.
Keywords: Remez inequality, exponential of a potential, polynomial, Green's function, quasi-smooth curve, symmetrization.
MSC 2000: 30C10, 30C15, 41A10.
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