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arXiv · 1601.07850

The optimal constants in Khintchine's inequality for the case 2<p<3

Olaf Mordhorst
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Abstract

A mean step in Haagerup's proof for the optimal constants in Khintchine's inequality is to show integral inequalities of type $\int(g^s-f^s)\mathrm{d}μ\geq 0$. F.L. Nazarov and A.N. Podkorytov made Haagerup's proof much more clearer for the case 0<p<2 by using a lemma on distribution functions. In this article we want to treat the case 2<p<3 with their technique.

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Olaf Mordhorst. 2016-01-28. The optimal constants in Khintchine's inequality for the case 2<p<3. https://doi.org/10.4064/cm6861-7-2016

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