A note on some inequalities for means

DOI10.1007/BF01200091zbMath0693.26005MaRDI QIDQ584435

József Sándor

Publication date: 1991

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

zbMATH Keywords

inequalitieslogarithmic meanarithmetic meangeometric meanidentric mean

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15)

Related Items (31)

Sharp two-parameter bounds for the identric mean ⋮ New sharp bounds for logarithmic mean and identric mean ⋮ Best possible bounds for Neuman-Sándor mean by the identric, quadratic and contraharmonic means ⋮ Optimal generalized Heronian mean bounds for the logarithmic mean ⋮ Sharp power-type Heronian mean bounds for the Sándor and Yang means ⋮ Two optimal double inequalities between power mean and logarithmic mean ⋮ An optimal double inequality for means ⋮ Proof of one optimal inequality for generalized logarithmic, arithmetic, and geometric means ⋮ New inequalities for hyperbolic functions and their applications ⋮ On an inequality of Diananda. III. ⋮ Optimal bounds for Neuman-Sándor mean in terms of the convex combinations of harmonic, geometric, quadratic, and contraharmonic means ⋮ An optimal double inequality between power-type Heron and Seiffert means ⋮ Inequalities between power means and convex combinations of the harmonic and logarithmic means ⋮ An optimal double inequality between geometric and identric means ⋮ Bounds of the Neuman-Sándor mean using power and identric means ⋮ Sharp bounds by the generalized logarithmic mean for the geometric weighted mean of the geometric and harmonic means ⋮ A sharp double inequality between harmonic and identric means ⋮ On Huygens inequalities and the theory of means ⋮ Optimal Lehmer mean bounds for the combinations of identric and logarithmic means ⋮ Inequalities for differences of power means in two variables ⋮ On the monotonicity and log-convexity of a four-parameter homogeneous mean ⋮ On some exponential means. II. ⋮ Some comparison inequalities for generalized Muirhead and identric means ⋮ Optimal inequalities for generalized logarithmic, arithmetic, and geometric means ⋮ Optimal inequalities among various means of two arguments ⋮ Best possible inequalities between generalized logarithmic mean and classical means ⋮ On some functional inequalities related to the logarithmic mean ⋮ Functional means and harmonic functional means ⋮ 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 ⋮ ON TWO NEW MEANS OF TWO ARGUMENTS III

Cites Work

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• Extended mean values. II
• Ungleichungen für Mittelwerte. (Inequalities for means)
• Eine Integralungleichung für streng monotone Funktionen mit logarithmisch konvexer Umkehrfunktion. (An integral inequality for strictly monotonic functions with a logarithmically convex inverse function)
• The Power and Generalized Logarithmic Means
• The Power Mean and the Logarithmic Mean
• The Logarithmic Mean

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