Abstract
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.
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The work of V. Andrievskii was supported in part by the Alexander von Humboldt Foundation and was conducted while visiting the Würzburg University. The work of S. Ruscheweyh was partially supported by the German-Israeli Foundation (grant G-809-234.6/2003).
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Andrievskii, V.V., Ruscheweyh, S. Remez-Type Inequalities in Terms of Linear Measure. Comput. Methods Funct. Theory 5, 347–363 (2006). https://doi.org/10.1007/BF03321102
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DOI: https://doi.org/10.1007/BF03321102
Keywords
- Remez inequality
- exponential of a potential
- polynomial
- Green’s function
- quasi-smooth curve
- symmetrization