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The Remez inequality for linear combinations of shifted Gaussians

Published online by Cambridge University Press:  01 May 2009

TAMÁS ERDÉLYI
TAMÁS ERDÉLYI*
Affiliation:
Department of Mathematics, Texas A&M University, College Station, Texas 77843-3368, U.S.A. e-mail: terdelyi@math.tamu.edu
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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

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References

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