Ungleichungen für \((e/a)^ a(b/e)^ b\). (Inequalities for \((e/a)^ a(b/e)^ b)\)

zbMath0596.26014MaRDI QIDQ1078344

Horst Alzer

Publication date: 1985

Published in: Elemente der Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/141365

zbMATH Keywords

inequalitiesconvex functionsgeometric meanroot-mean-powersapproximation of e

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Simultaneous approximation (41A28)

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Two optimal double inequalities between power mean and logarithmic mean ⋮ Optimal evaluation of a Toader-type mean by power mean ⋮ A best possible double inequality for power mean ⋮ Optimal inequalities for power means ⋮ Optimal Lehmer mean bounds for the combinations of identric and logarithmic means ⋮ Optimal lower power mean bound for the convex combination of harmonic and logarithmic means ⋮ Sharp power mean bounds for Sándor mean ⋮ Optimal power mean bounds for Yang mean

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