Comparison of two regulatory results on functional equations with few parameters

DOI10.1007/S00010-010-0046-XzbMath1216.39026OpenAlexW1987943475MaRDI QIDQ633247

István Kovácsvölgyi

Publication date: 31 March 2011

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

Full work available at URL: https://doi.org/10.1007/s00010-010-0046-x

zbMATH Keywords

functional equationlinear functional equationmean value equationregularity property

Mathematics Subject Classification ID

Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Iteration theory, iterative and composite equations (39B12) Hausdorff and packing measures (28A78) General theory of functional equations and inequalities (39B05) Set functions and measures on topological spaces (regularity of measures, etc.) (28C15)

Related Items (1)

On the state of the second part of Hilbert's fifth problem

Cites Work

• Unnamed Item
• On regular solutions of functional equations
• Measurability implies continuity for solutions of functional equations -- even with few variables
• Boundedness on a set of positive measure and the mean value property characterizes polynomials on a space \(V^ n\)
• The Regularity of the Locally Integrable and Continuous Solutions of Nonlinear Functional Equations

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