The Khinchin inequality for multiple sums revisited

IF 0.4 4区数学 Q4 MATHEMATICS

Bulletin of the Belgian Mathematical Society-Simon Stevin Pub Date : 2023-09-30 DOI:10.36045/j.bbms.220831

Anselmo Raposo, Katiuscia B. Teixeira

引用次数: 0

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.

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对多和的钦钦不等式进行了重新考察

我们给出了多个和的Khinchin不等式的自包含证明，避免了概率论的高级结果。我们的新证明不仅更容易理解，而且还揭示了不等式的一些性质，这些性质可能会产生进一步的推广。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Bulletin of the Belgian Mathematical Society-Simon Stevin 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： The Bulletin of the Belgian Mathematical Society - Simon Stevin (BBMS) is a peer-reviewed journal devoted to recent developments in all areas in pure and applied mathematics. It is published as one yearly volume, containing five issues. The main focus lies on high level original research papers. They should aim to a broader mathematical audience in the sense that a well-written introduction is attractive to mathematicians outside the circle of experts in the subject, bringing motivation, background information, history and philosophy. The content has to be substantial enough: short one-small-result papers will not be taken into account in general, unless there are some particular arguments motivating publication, like an original point of view, a new short proof of a famous result etc. The BBMS also publishes expository papers that bring the state of the art of a current mainstream topic in mathematics. Here it is even more important that at leat a substantial part of the paper is accessible to a broader audience of mathematicians. The BBMS publishes papers in English, Dutch, French and German. All papers should have an abstract in English.