On the equality of quasi-arithmetic and Lagrangian means

DOI10.1016/j.jmaa.2011.04.033zbMath1223.26050OpenAlexW2057590038MaRDI QIDQ549738

Zsolt Páles

Publication date: 18 July 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.04.033

zbMATH Keywords

quasi-arithmetic meanequality problemLagrangian mean

Mathematics Subject Classification ID

Means (26E60)

Related Items (12)

Functional equations and the Cauchy mean value theorem ⋮ Equality and homogeneity of generalized integral means ⋮ A dichotomy result for strictly increasing bisymmetric maps ⋮ On quadrature means ⋮ On the equality problem of two-variable Bajraktarević means under first-order differentiability assumptions ⋮ On a functional equation related to two-variable weighted quasi-arithmetic means ⋮ The equality problem in the class of conjugate means ⋮ On the equality of two-variable general functional means ⋮ On a lattice-like property of quasi-arithmetic means ⋮ Characterizations of the equality of two-variable generalized quasiarithmetic means ⋮ Characterization of quasiarithmetic means without regularity condition ⋮ An extension theorem for conditionally additive functions and its application for the equality problem of quasi-arithmetic expressions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On some functional inequalities related to the logarithmic mean
• Equality of two-variable functional means generated by different measures
• On the comparison of Cauchy mean values
• Embeddability of mean-type mappings in a continuous iteration semigroup
• Invariance in a class of Bajraktarević means
• An invariance of geometric mean with respect to Lagrangian means
• Comparison of means generated by two functions and a measure
• Invariance of quasi-arithmetic means with function weights
• On two mean value properties and functional equations associated with them
• Collective judgement: combining individual value judgements
• Lagrangian means
• Equality of two variable Cauchy mean values
• On means generated through the Cauchy mean value theorem
• \(n\)-variable bisection.
• On the characterization of quasiarithmetic means with weight function
• On two-variable means with variable weights
• Invariance of the Cauchy mean-value expression with an application to the problem of representation of Cauchy means
• On weighted extensions of Cauchy's means
• Equality of two variable means revisited
• A general inequality for means
• Lagrangean mean-type mappings for which the arithmetic mean is invariant
• Inequalitites for Cauchy mean values
• О теории средних
• Characterization of quasideviation means
• Means and the mean value theorem
• Remarks on the comparison of weighted quasi-arithmetic means
• A LOCALIZATION PRINCIPLE FOR CLASSES OF MEANS
• Comparison and subhomogeneity of integral means
• A Characterization of Nonconvexity and Its Applications in the Theory of Quasi-arithmetic Means
• Invariance in the class of weighted quasi-arithmetic means
• On mean values
• Convex functions and their applications. A contemporary approach
• On means that are both quasi-arithmetic and conjugate arithmetic

This page was built for publication: On the equality of quasi-arithmetic and Lagrangian means