Arithmetically homogeneous functions: characterizations, stability and hyperstability
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Publication:1621488
DOI10.1007/s00010-018-0579-yzbMath1400.39021OpenAlexW2837129420WikidataQ129542561 ScholiaQ129542561MaRDI QIDQ1621488
Cristina Mîndruţă, Dan M. Dăianu
Publication date: 9 November 2018
Published in: Aequationes Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00010-018-0579-y
Stability, separation, extension, and related topics for functional equations (39B82) Functional equations for functions with more general domains and/or ranges (39B52) Difference operators (39A70)
Related Items (5)
Sections in functional equations: stability and hyperstability ⋮ General criteria for hyperstability of Cauchy-type equations ⋮ Sections in functional equations ⋮ Polynomials of arithmetically homogeneous functions: stability and hyperstability ⋮ Samples of homogeneous functions
Cites Work
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- Hyperstability of general linear functional equation
- Ulam's stability of a generalization of the Fréchet functional equation
- A stability criterion for Fréchet's first polynomial equation
- Recursive procedure in the stability of Fréchet polynomials
- A characterization of monomial functions
- Hyperstability and superstability
- The monomial difference majorized by single variable function
- Hyperstability of some functional equations on restricted domain
- Homogeneous functions: new characterization and applications
- Hyperstability of the Fréchet equation and a characterization of inner product spaces
- On stability of the monomial functional equation in normed spaces over fields with valuation
- On the probabilistic stability of the monomial functional equation
- ON HYPERSTABILITY OF GENERALISED LINEAR FUNCTIONAL EQUATIONS IN SEVERAL VARIABLES
- A representation theorem for $(X_1-1)(X_2-1)...(X_n-1)$ and its applications
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