Sharp van der Corput estimates and minimal divided differences

Keith Rogers

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arXiv · math/0311013

Sharp van der Corput estimates and minimal divided differences

Keith Rogers

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Abstract

We find the nodes that minimise divided differences and use them to find the sharp constant in a sublevel set estimate. We also find the sharp constant in the first instance of the van der Corput Lemma using a complex mean value theorem for integrals. With these sharp bounds we improve the constant in the general van der Corput Lemma, so that it is asymptotically sharp.

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Keith Rogers. 2003-11-03. Sharp van der Corput estimates and minimal divided differences. https://arxiv.org/abs/math/0311013

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