The AM-GM inequality and CBS inequality are equivalent

DOI10.1007/S00283-012-9292-1zbMath1248.26033OpenAlexW2071210995MaRDI QIDQ444040

Minghua Lin

Publication date: 13 August 2012

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

Full work available at URL: https://doi.org/10.1007/s00283-012-9292-1

zbMATH Keywords

arithmetic-mean/geometric-mean inequalityCauchy-Bunyakovsky-Schwarz inequality

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15)

Related Items (3)

Equivalency of Cauchy-Schwarz and Bessel inequalities ⋮ The mathematics of mathematics houses (the snaky connection) ⋮ The weighted arithmetic mean-geometric mean inequality is equivalent to the Hölder inequality

Cites Work

• The AM-GM inequality is equivalent to the Bernoulli inequality

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