Hölder's inequality and its reverse—A probabilistic point of view

DOI10.1002/mana.202200411arXiv2209.13442MaRDI QIDQ6144887

Joscha Prochno, Lorenz Frühwirth

Publication date: 8 January 2024

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.13442

zbMATH Keywords

central limit theoremlarge deviation principleHölder's inequalitymoderate deviation principleBerry-Esseen boundreverse inequality\(\ell_p^n\) ball

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Central limit and other weak theorems (60F05) Large deviations (60F10) Inequalities for sums, series and integrals (26D15)

Cites Work

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• Approximate independence of distributions on spheres and their stability properties
• Concentration of the ratio between the geometric and arithmetic means
• Large deviations techniques and applications.
• A probabilistic approach to the geometry of the \(\ell^n_p\)-ball
• Projecting the surface measure of the sphere of \({\ell}_p^n\)
• Gaussian fluctuations for high-dimensional random projections of \(\ell_p^n\)-balls
• Yet another note on the arithmetic-geometric mean inequality
• On the Volume of the Intersection of Two L n p Balls
• Berry–Esseen bounds for random projections of $\ell _p^n$-balls
• Fundamentals of Nonparametric Bayesian Inference
• Another note on the inequality between geometric and p‐generalized arithmetic mean

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