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• W1497355403 abstract "The well-known von Bahr-Esseen bound on the absolute pth moments of martingales with p 2 (1,2) is extended to a large class of moment functions, and now with a best possible constant factor (which de- pends on the moment function). As an application, measure concentration inequalities for separately Lipschitz functions on product spaces are ob- tained. Relations with p-uniformly smooth and q-uniformly convex normed spaces are discussed. AMS 2000 subject classifications: Primary 60E15, 60B11, 62G10; sec- ondary 46B09, 46B20, 46B10. Keywords and phrases: probability inequalities, sums of independent random variables, martingales, v-martingales, concentration of measure, separately Lipschitz functions, product spaces, p-uniformly smooth normed spaces, q-uniformly convex normed spaces." @default.
• W1497355403 created "2016-06-24" @default.
• W1497355403 creator A5058378725 @default.
• W1497355403 date "2010-08-31" @default.
• W1497355403 modified "2023-09-27" @default.
• W1497355403 title "On the von Bahr-Esseen inequality" @default.
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• W1497355403 hasPublicationYear "2010" @default.
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