The equality problem in the class of conjugate means

DOI10.1007/s00010-011-0113-yzbMath1271.39016OpenAlexW2083523461MaRDI QIDQ1759601

Judita Dascăl, Pál Burai

Publication date: 21 November 2012

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

Full work available at URL: http://hdl.handle.net/2437/166626

zbMATH Keywords

functional equationmeanquasi-arithmetic meanconjugate mean

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Iteration theory, iterative and composite equations (39B12) Means (26E60)

Related Items (1)

An extension theorem for conditionally additive functions and its application for the equality problem of quasi-arithmetic expressions

Cites Work

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• On the equality and comparison problem of a class of mean values
• On the equality of quasi-arithmetic and Lagrangian means
• Generalized weighted quasi-arithmetic means
• Equality of two-variable functional means generated by different measures
• On the equality problem of conjugate means
• Equality of two variable Cauchy mean values
• Equality of two variable weighted means: Reduction to differential equations
• Equality of two variable means revisited
• A functional equation related to an equality of means problem
• Remarks on the comparison of weighted quasi-arithmetic means
• On means that are both quasi-arithmetic and conjugate arithmetic

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