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

Abstract

A mean step in Haagerup's proof for the optimal constants in Khintchine's inequality is to show integral inequalities of type $\int (g^s-f^s)\mathrm{d}\mu \ge 0$. 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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