The AM-GM inequality is equivalent to the Bernoulli inequality

DOI10.1007/s00283-011-9266-8zbMath1239.26009OpenAlexW2135853734MaRDI QIDQ2429452

Lech Maligranda

Publication date: 27 April 2012

Published in: The Mathematical Intelligencer (Search for Journal in Brave)

Full work available at URL: http://urn.kb.se/resolve?urn=urn:nbn:se:ltu:diva-9056

zbMATH Keywords

Cauchy inequalityBernoulli inequality

Mathematics Subject Classification ID

Integration of real functions of several variables: length, area, volume (26B15) Means (26E60) Equations and inequalities (educational aspects) (97H30)

Related Items (10)

On a Proof of Maclaurin’s Inequality ⋮ Extending Extending Bernoulli’s Inequality ⋮ The mathematics of mathematics houses (the snaky connection) ⋮ Calibrated multi-task subspace learning via binary group structure constraint ⋮ The AM-GM inequality and CBS inequality are equivalent ⋮ A Short, Elementary Introduction to the Exponential Function ⋮ Unnamed Item ⋮ On ABC Estrada index of graphs ⋮ The weighted arithmetic mean-geometric mean inequality is equivalent to the Hölder inequality ⋮ High-order moment stabilization for Markov jump systems with attenuation rate

Cites Work

• Unnamed Item
• Unnamed Item
• The AM-GM inequality
• Proofs of the arithmetic mean‐geometric mean inequality
• Why Hölder's inequality should be called Rogers' inequality

This page was built for publication: The AM-GM inequality is equivalent to the Bernoulli inequality