Arithmetically homogeneous functions: characterizations, stability and hyperstability

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

zbMATH Keywords

hyperstabilityarithmetically homogeneous functionFréchet polynomial

Mathematics Subject Classification ID

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

• A general theorem on the stability of a class of functional equations including monomial equations
• 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
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Arithmetically homogeneous functions: characterizations, stability and hyperstability