Functional equations involving means

DOI10.1007/s10474-007-5296-2zbMath1174.39006OpenAlexW1978047725MaRDI QIDQ2460668

Gyula Maksa, Rezsö L. Lovas, Zsolt Páles, Zoltán Daróczy, Károly Lajkó

Publication date: 12 November 2007

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2437/3635

zbMATH Keywords

linear functional equation\(p\)-Wright affine functionbiadditive functionJensen-affine function

Mathematics Subject Classification ID

Functional equations for real functions (39B22) (C^infty)-functions, quasi-analytic functions (26E10)

Related Items (9)

Hyperstability of general linear functional equation ⋮ Stability of the equation of \((p,q)\)-Wright functions ⋮ On stability of a functional equation of quadratic type ⋮ A note on asymptotically approximate generalized Lie derivations ⋮ On Stability of the Functional Equation of p-Wright Affine Functions in 2-Banach Spaces ⋮ Stability for a family of equations generalizing the equation of \(p\)-Wright affine functions ⋮ Stability of homomorphisms and generalized derivations on Banach algebras ⋮ Convexity properties of functions defined on metric abelian groups ⋮ On stability of the functional equation of \(p\)-Wright affine functions in \((2,\alpha)\)-Banach spaces

Cites Work

• Functional equations involving means and their Gauss composition
• An Inequality for Convex Functions
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