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
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
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