On a functional equation related to a problem of G. Derfel

DOI10.1007/s00010-018-0600-5zbMath1409.39014OpenAlexW2891184023WikidataQ129295236 ScholiaQ129295236MaRDI QIDQ1731434

Mariusz Sudzik

Publication date: 13 March 2019

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

Full work available at URL: https://doi.org/10.1007/s00010-018-0600-5

zbMATH Keywords

functional equationsquasi-arithmetic meanarchetypal equation

Mathematics Subject Classification ID

Functional equations for real functions (39B22) General theory of functional equations and inequalities (39B05)

Related Items (3)

Gaussian iterative algorithm and integrated automorphism equation for random means ⋮ The archetypal equation and its solutions attaining the global extremum ⋮ An application of medial limits to iterative functional equations

Cites Work

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• Analysis of the archetypal functional equation in the non-critical case
• Generalized weighted quasi-arithmetic means
• Probabilistic method for a class of functional-differential equations
• On the Continuity of the Distribution of a Sum of Dependent Variables Connected with Independent Walks on Lines
• On bounded continuous solutions of the archetypal equation with rescaling
• Recent results on functional equations in a single variable, perspectives and open problems

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