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

2025/03/10 by Jakimiuk, Jacek · 1 citation
#26D15 #60E15 (Primary) 26A51 #60G50 (Secondary) #FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.2503.07001

Abstract

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

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