The Logarithmic Mean in n Variables
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Publication:3729220
DOI10.2307/2322637zbMath0597.26027OpenAlexW4256015552MaRDI QIDQ3729220
Publication date: 1985
Published in: The American Mathematical Monthly (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2322637
Related Items (32)
Invariant means ⋮ Limit theorems for logarithmic means ⋮ On a method of construction of new means with applications ⋮ Inequalities for differences of powers ⋮ Inequalities for the gamma and \(q\)-gamma functions ⋮ Entropic means ⋮ Optimal generalized Heronian mean bounds for the logarithmic mean ⋮ Two optimal double inequalities between power mean and logarithmic mean ⋮ An optimal double inequality for means ⋮ Inequalities between power means and convex combinations of the harmonic and logarithmic means ⋮ Remarks on a lemma of Schmidt ⋮ The fundamental blossoming inequality in Chebyshev spaces. I: Applications to Schur functions ⋮ Sharp bounds by the generalized logarithmic mean for the geometric weighted mean of the geometric and harmonic means ⋮ The Hermite-Hadamard inequality for log-convex functions ⋮ Optimal Lehmer mean bounds for the combinations of identric and logarithmic means ⋮ On the intersection of two-parameter mean value families ⋮ Sub- and super-additive properties of the psi function ⋮ Schur-convexity of two types of one-parameter mean values in \(n\) variables ⋮ Minkowski’s inequality for two variable difference means ⋮ Optimal bounds for arithmetic-geometric and Toader means in terms of generalized logarithmic mean ⋮ Best possible inequalities between generalized logarithmic mean and classical means ⋮ Functional means and harmonic functional means ⋮ Monotonicity theorems and inequalities for the complete elliptic integrals ⋮ Optimal lower power mean bound for the convex combination of harmonic and logarithmic means ⋮ The optimal upper and lower power mean bounds for a convex combination of the arithmetic and logarithmic means ⋮ Extension of bivariate means to weighted means of several arguments by using binary trees ⋮ Homogeneous mean values: weights and asymptotics ⋮ Series and product representations for some mathematical constants ⋮ A logarithmic mean and intersections of osculating hyperplanes in R^n ⋮ Further refinements and reverses of the Hermite-Hadamard inequalities for multivariate operator convex maps ⋮ Über eine zweiparametrige Familie von Mittelwerten. (On a two- parametric family of means) ⋮ Ungleichungen für Mittelwerte. (Inequalities for means)
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