Article contents
The Remez inequality for linear combinations of shifted Gaussians
Published online by Cambridge University Press: 01 May 2009
Abstract
Let and
We prove that there is an absolute constant c1 > 0 such that
for every s ∈ (0, ∞) and n ≥ 9, where the supremum is taken for all f ∈ Gn with
This 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
References
REFERENCES
- 3
- Cited by