The inequality of Ky Fan and related results

DOI10.1007/BF00996150zbMath0834.26013MaRDI QIDQ1897274

Horst Alzer

Publication date: 31 March 1996

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

zbMATH Keywords

arithmetic meangeometric meanKy Fan inequality

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15)

Related Items (22)

Comparison of the normalized Jensen functionals of two convex functions with applications ⋮ On a conjecture on the symmetric means ⋮ On an additive analogue of Ky Fan's inequality ⋮ AN IMPROVEMENT OF JENSEN'S INEQUALITY WITH SOME APPLICATIONS ⋮ Schur convexity for the ratios of the Hamy and generalized Hamy symmetric functions ⋮ Operator Ky Fan type inequalities ⋮ Some inequalities involving means and their converses ⋮ On an inequality of Diananda. III. ⋮ Ky Fan inequalities for bivariate means ⋮ Comparison of orders generated by Ky Fan type inequalities for bivariate means ⋮ Some properties of a generalized Hamy symmetric function and its applications ⋮ The fundamental blossoming inequality in Chebyshev spaces. I: Applications to Schur functions ⋮ A Rogalski-Cornet type inclusion theorem based on two Hausdorff locally convex vector spaces ⋮ On the Ky Fan inequality and related inequalities II ⋮ Schur convexity for two classes of symmetric functions and their applications ⋮ Ky Fan's inequality with binomial expansion ⋮ On a class of Ky Fan-type inequalities ⋮ Unnamed Item ⋮ Inequalities for weighted arithmetic and geometric means ⋮ On some improvements of the Jensen inequality with some applications ⋮ Ky Fan inequalities ⋮ On the Ky Fan inequality

Cites Work

• Inequalities of the Rado-Popoviciu type for functions and their applications
• Über eine zweiparametrige Familie von Mittelwerten. (On a two- parametric family of means)
• An inequality of W.L. Wang and P.F. Wang
• On Levinson's inequality
• The inequalities of W. Sierpinski and Ky Fan
• Verschärfung einer Ungleichung von Ky Fan
• Extensions of the Weierstrass product inequalities. III
• On an inequality of Ky Fan
• On a Ky Fan inequality of the complementary A-G type and its variants
• Functional equation approach to inequalities. II
• An inequality for arithmetic and harmonic means
• On an additive analogue of Ky Fan's inequality
• An inequality for 3-convex functions
• Generalization of an inequality of Ky Fan
• Superadditive Funktionale, Identitäten und Ungleichungen der elementaren Analysis
• Some identities between arithmetic means and the other elementary symmetric functions of \(n\) numbers
• On Weighted Geometric Means
• Unified Treatment of Inequalities of the Weierstrass Product Type
• Inequalities for Arithmetic, Geometric and Harmonic Means
• AN EXTENSION AND A CONVERSE OF KY FAN'S INEQUALITY
• Refinements of Ky Fan's Inequality
• On Extensions of an Inequality Among Means
• Extensions of the Weierstrass Product Inequalities
• Analytic Inequalities
• A Generalization of Two Inequalities Involving Means
• Inequalities: theory of majorization and its applications
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