Optimal blow up rate for the constants of Khinchin type inequalities

TL;DR

This paper determines the optimal growth rate of constants in a family of Khinchin inequalities for multiple sums, advancing understanding of their behavior in mathematical analysis.

Contribution

It establishes the precise blow-up rate of the constants in Khinchin inequalities, which was previously unknown.

Findings

Identifies the optimal blow-up rate of the constants.

Provides new bounds for Khinchin inequality constants.

Enhances theoretical understanding of inequalities in analysis.

Abstract

We provide, among other results, the optimal blow up rate of the constants of a family of Khinchin inequalities for multiple sums.