A stability criterion for Fréchet's first polynomial equation

DOI10.1007/S00010-014-0257-7zbMath1306.39018OpenAlexW2159119965MaRDI QIDQ483327

Dan M. Dăianu

Publication date: 16 December 2014

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

Full work available at URL: https://doi.org/10.1007/s00010-014-0257-7

zbMATH Keywords

stabilitymonomialCauchy functional equationFréchet's polynomial

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82)

Related Items (4)

Arithmetically homogeneous functions: characterizations, stability and hyperstability ⋮ Hyperstability of the generalized polynomial functional equation of degree 5 ⋮ Taylor type formula with Fréchet polynomials ⋮ Polynomials of arithmetically homogeneous functions: stability and hyperstability

Cites Work

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• Hyers-Ulam-Rassias stability of functional equations in nonlinear analysis
• Recursive procedure in the stability of Fréchet polynomials
• On functions with bounded \(n\)-th differences
• Transformations with bounded \(m\)-th differences
• On stability of additive mappings
• A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
• Comments on the core of the direct method for proving Hyers-Ulam stability of functional equations
• On the stability of the linear transformation in Banach spaces
• Fréchet's equation and Hyers theorem on noncommutative semigroups
• Functions with bounded nth differences
• On the Stability of the Linear Mapping in Banach Spaces
• A representation theorem for $(X_1-1)(X_2-1)...(X_n-1)$ and its applications
• Classes of transformations and bordering transformations
• On the Stability of the Linear Functional Equation

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