Stability of Khintchine inequalities with optimal constants between the second and the $p$-th moment for $p \ge 3$

Jacek Jakimiuk

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arXiv · 2503.07001

Stability of Khintchine inequalities with optimal constants between the second and the $p$-th moment for $p \ge 3$

Jacek Jakimiuk

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Abstract

We give a strengthening of the classical Khintchine inequality between the second and the $p$-th moment for $p \ge 3$ with optimal constant by adding a deficit depending on the vector of coefficients of the Rademacher sum.

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Jacek Jakimiuk. 2025-03-10. Stability of Khintchine inequalities with optimal constants between the second and the $p$-th moment for $p \ge 3$. https://arxiv.org/abs/2503.07001

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