september 2023 The Khinchin inequality for multiple sums revisited
Anselmo Raposo, Katiuscia B. Teixeira
Bull. Belg. Math. Soc. Simon Stevin 30(2): 163-175 (september 2023). DOI: 10.36045/j.bbms.220831

Abstract

We present a self-contained proof of the Khinchin inequality for multiple sums, which avoids advanced results from Probability theory. Not only our new proof is more accessible, but also it sheds lights on some properties of the inequality which may yield further generalizations.

Citation

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Anselmo Raposo. Katiuscia B. Teixeira. "The Khinchin inequality for multiple sums revisited." Bull. Belg. Math. Soc. Simon Stevin 30 (2) 163 - 175, september 2023. https://doi.org/10.36045/j.bbms.220831

Information

Published: september 2023
First available in Project Euclid: 24 September 2023

Digital Object Identifier: 10.36045/j.bbms.220831

Subjects:
Primary: 26D15

Keywords: Khinchin inequality , multiple sums , Rademacher functions

Rights: Copyright © 2023 The Belgian Mathematical Society

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Vol.30 • No. 2 • july 2023
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