On the equality of Bajraktarević means to quasi-arithmetic means

DOI10.1007/s00025-019-1141-5zbMath1434.39018arXiv1904.12612OpenAlexW2942055731MaRDI QIDQ2301577

Amr Zakaria, Zsolt Páles

Publication date: 25 February 2020

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.12612

zbMATH Keywords

regularity theoryquasi-arithmetic meanequality problemBajraktarević mean

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Means (26E60)

Related Items (8)

Limit theorems for Bajraktarević and Cauchy quotient means of independent identically distributed random variables ⋮ Limit theorems for deviation means of independent and identically distributed random variables ⋮ On the equality problem of two-variable Bajraktarević means under first-order differentiability assumptions ⋮ Characterization of the equality of Cauchy means to quasiarithmetic means ⋮ On the equality of two-variable general functional means ⋮ Characterizations of the equality of two-variable generalized quasiarithmetic means ⋮ Characterization of quasiarithmetic means without regularity condition ⋮ On the equality problem of generalized Bajraktarević means

Cites Work

• Equality of two-variable functional means generated by different measures
• On the invariance equation for two-variable weighted nonsymmetric Bajraktarević means
• Equality of two variable weighted means: Reduction to differential equations
• On two-variable means with variable weights
• Equality and homogeneity of generalized integral means
• Equality of two variable means revisited
• On Means Which are Quasi-Arithmetic and of the Beckenbach–Gini Type
• On a functional equation related to two-variable weighted quasi-arithmetic means
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