Ungleichungen für Mittelwerte. (Inequalities for means)
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Publication:1071121
DOI10.1007/BF01189983zbMath0585.26014MaRDI QIDQ1071121
Publication date: 1986
Published in: Archiv der Mathematik (Search for Journal in Brave)
Related Items (40)
Integral inequalities for concave functions with applications to special functions ⋮ Best possible bounds for Neuman-Sándor mean by the identric, quadratic and contraharmonic means ⋮ Optimal generalized Heronian mean bounds for the logarithmic mean ⋮ Sharp bounds by the power mean for the generalized Heronian mean ⋮ 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 ⋮ The monotonicity results for the ratio of certain mixed means and their applications ⋮ On new sharp bounds for the Toader-Qi mean involved in the modified Bessel functions of the first kind ⋮ New inequalities for hyperbolic functions and their applications ⋮ Optimal evaluation of a Toader-type mean by power mean ⋮ An optimal double inequality between geometric and identric means ⋮ Bounds of the Neuman-Sándor mean using power and identric means ⋮ A best possible double inequality for power mean ⋮ Optimal inequalities for power 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 ⋮ New inequalities for hyperbolic functions based on reparameterization ⋮ Sharp power mean bounds for the combination of Seiffert and geometric means ⋮ Optimal Lehmer mean bounds for the combinations of identric and logarithmic means ⋮ Sharp inequalities for trigonometric functions ⋮ Sharp power mean bounds for the one-parameter harmonic mean ⋮ On some exponential means. II. ⋮ Generalized Lazarevic's inequality and its applications. 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 ⋮ Optimal lower power mean bound for the convex combination of harmonic and logarithmic means ⋮ A note on some inequalities for means ⋮ ON TWO NEW MEANS OF TWO ARGUMENTS III ⋮ A sharp lower bound for Toader-Qi mean with applications ⋮ On approximating the modified Bessel function of the first kind and Toader-Qi mean ⋮ The Logarithmic Mean Revisited ⋮ On the identric and logarithmic means ⋮ A new chain of inequalities involving the Toader-Qi, logarithmic and exponential means ⋮ Sharp power mean bounds for Sándor mean ⋮ On certain inequalities involving the constant \(e\) and their applications ⋮ Optimal power mean bounds for Yang mean ⋮ A chain of mean value inequalities
Cites Work
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- Extended mean values. II
- Über einen Wert, der zwischen dem geometrischen und dem arithmetischen Mittel zweier Zahlen liegt
- The Logarithmic Mean in n Variables
- The Power Mean and the Logarithmic Mean
- Generalizations of the Logarithmic Mean
- Extended Mean Values
- Some Inequalities for Hypergeometric Functions
- Analytic Inequalities
- The Logarithmic Mean
- Some Generalizations of the Logarithmic Mean and of Similar Means of Two Variates Which Become Indeterminate When the Two Variates are Equal
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