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

Published 10 Mar 2025 in math.PR | (2503.07001v2)

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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