Stability of a functional equation for generalized polynomials

DOI10.1007/S00010-015-0374-YzbMath1339.39029OpenAlexW2294705248MaRDI QIDQ264154

Jens Schwaiger, Wolfgang Prager

Publication date: 6 April 2016

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

Full work available at URL: https://doi.org/10.1007/s00010-015-0374-y

zbMATH Keywords

normed spaceBanach spacegeneralized polynomialsstability of functional equations

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Stability, separation, extension, and related topics for functional equations (39B82) Polynomials in number theory (11C08)

Related Items (1)

Polynomials of arithmetically homogeneous functions: stability and hyperstability

Cites Work

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• Recursive procedure in the stability of Fréchet polynomials
• Existence of nontrivial solutions of linear functional equations
• On the construction of functional equations with prescribed general solution
• A general functional equation and its stability
• A representation theorem for $(X_1-1)(X_2-1)...(X_n-1)$ and its applications

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