General inequalities for quasideviation means

DOI10.1007/BF01837970zbMath0652.26023MaRDI QIDQ1106968

Zsolt Páles

Publication date: 1988

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/137273

zbMATH Keywords

homogeneous meansHölder type inequalityMinkowski type inequalitydifferentiable meansgeneralized Jensen inequalitiesquasideviation meansquasilinear means

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51) Systems of functional equations and inequalities (39B72)

Related Items (19)

On properties of weighted Hardy constant for means ⋮ Estimating the Hardy constant of nonconcave Gini means ⋮ Reducible means and reducible inequalities ⋮ On Kedlaya-type inequalities for weighted means ⋮ On homogeneous quasideviation means ⋮ On a disparity between willingness to pay and willingness to accept under the Rank-Dependent Utility model ⋮ Limit theorems for deviation means of independent and identically distributed random variables ⋮ Estimating the Hardy constant of nonconcave homogeneous quasideviation means ⋮ On the Jensen convexity of quasideviation and Bajraktarević means ⋮ Comparison of means generated by two functions and a measure ⋮ On Hardy type inequalities for weighted quasideviation means ⋮ On the best Hardy constant for quasi-arithmetic means and homogeneous deviation means ⋮ On Hardy-type inequalities for weighted means ⋮ On some functional inequalities related to the logarithmic mean ⋮ On the Jensen convex and Jensen concave envelopes of means ⋮ On applications of inequalities for quasideviation means in actuarial mathematics ⋮ On some applications of quasideviation means ⋮ On weighted quasi-arithmetic means which are convex ⋮ On comparison of the principles of equivalent utility and its applications

Cites Work

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• On Hölder-type inequalities
• Inequalities for integral mean values
• A generalization of the Minkowski inequality
• Einige Ungleichungen über die mit Gewichtsfunktionen gebildeten Mittelwerte
• Subadditive Mittelwerte. (Subadditive mean values)
• A general inequality for means
• Moment spaces and inequalities
• Characterization of quasideviation means
• Convex Analysis
• Subhomogene Mittelwerte
• A Class of Mean Value Functions
• Dresher's Inequality

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