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Original Articles

A remez-type inequality in terms of capacity

Pages 35-46 | Received 14 Dec 1999, Published online: 29 May 2007
 

Abstract

We obtain sharp uniform bounds for exponentials of logarithmic potentials if the logarithmic capacity of the subset, where they are at most 1, is known.

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*Present address: Institute for Applied Mathematics and Mechanics, R. Luxemburg Street 74, 340114 Donetsk-114, Ukraine, [email protected]

*Present address: Institute for Applied Mathematics and Mechanics, R. Luxemburg Street 74, 340114 Donetsk-114, Ukraine, [email protected]

Notes

*Present address: Institute for Applied Mathematics and Mechanics, R. Luxemburg Street 74, 340114 Donetsk-114, Ukraine, [email protected]

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