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Stability of Khintchine inequalities with optimal constants

Speaker(s)
Jacek Jakimiuk
Language of the talk
English
Date
March 20, 2025, 12:15 p.m.
Room
room 3160
Title in Polish
Stability of Khintchine inequalities with optimal constants
Seminar
Seminar of Probability Group

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.