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The Remez inequality for linear combinations of shifted Gaussians
Published online by Cambridge University Press: 01 May 2009
Abstract
Let andWe prove that there is an absolute constant c1 > 0 such thatfor every s ∈ (0, ∞) and n ≥ 9, where the supremum is taken for all f ∈ Gn withThis is what we call (an essentially sharp) Remez-type inequality for the class Gn. We also prove the right higher dimensional analog of the above result.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 146 , Issue 3 , May 2009 , pp. 523 - 530
- Copyright
- Copyright © Cambridge Philosophical Society 2008
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