Characterization of the Hardy property of means and the best Hardy constants

DOI10.7153/mia-19-84zbMath1353.26030arXiv1512.07265OpenAlexW2337308799MaRDI QIDQ2835408

Paweł Pasteczka, Zsolt Páles

Publication date: 2 December 2016

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.07265

zbMATH Keywords

Hardy inequalityquasi-arithmetic meanGini meanHardy meanHardy constantGaussian product of meansKedlaya mean

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Means (26E60)

Related Items (16)

On properties of weighted Hardy constant for means ⋮ Estimating the Hardy constant of nonconcave Gini means ⋮ On Kedlaya-type inequalities for weighted means ⋮ On negative results concerning weak-Hardy means ⋮ On the integral approach to means and their Hardy property ⋮ From the Ingham-Jessen property to mixed-mean inequalities ⋮ Estimating the Hardy constant of nonconcave homogeneous quasideviation means ⋮ On the Jensen convexity of quasideviation and Bajraktarević means ⋮ On Hardy type inequalities for weighted quasideviation means ⋮ On the best Hardy constant for quasi-arithmetic means and homogeneous deviation means ⋮ On the Hardy property of mixed means ⋮ On Hardy-type inequalities for weighted means ⋮ On the Jensen convex and Jensen concave envelopes of means ⋮ Online premeans and their computation complexity ⋮ WEAKENING OF THE HARDY PROPERTY FOR MEANS ⋮ Interval-type theorems concerning means

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On negative results concerning Hardy means
• Solving invariance equations involving homogeneous means with the help of computer
• Some Cauchy mean-type mappings for which the geometric mean is invariant
• Invariance equation for generalized quasi-arithmetic means
• A solution of an open problem concerning Lagrangian mean-type mappings
• Computer aided solution of the invariance equation for two-variable Gini means
• Computer aided solution of the invariance equation for two-variable Stolarsky means
• On a Pexider-type functional equation for quasideviation means
• Inequalities for integral mean values
• On iteration semigroups of mean-type mappings and invariant means
• The Matkowski-Sutô problem for weighted quasi-arithmetic means
• On the compounding of certain means
• General inequalities for nonsymmetric means
• Lagrangean mean-type mappings for which the arithmetic mean is invariant
• Hardy-type inequalities for means
• Scales of quasi-arithmetic means determined by an invariance property
• Characterization of quasideviation means
• The Arithmetic-Harmonic Mean
• Proof of a Mixed Arithmetic-Mean, Geometric-Mean Inequality
• On the Generalization of Hardy's Inequality
• A Weighted Mixed-Mean Inequality
• Carleman's inequality: History and new generalizations

This page was built for publication: Characterization of the Hardy property of means and the best Hardy constants