Certain properties of difference operator and stability of Fréchet functional equation

DOI10.1186/s13662-020-02561-9zbMath1482.39036OpenAlexW3030484098MaRDI QIDQ2057456

Teerapol Sukhonwimolmal

Publication date: 6 December 2021

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-020-02561-9

zbMATH Keywords

stabilitydifference operatorFréchet functional equation

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 (1)

A functional definition of polynomial for connected Lie groups

Cites Work

• Unnamed Item
• Recursive procedure in the stability of Fréchet polynomials
• On functions with bounded \(n\)-th differences
• Transformations with bounded \(m\)-th differences
• A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
• On the stability of the linear transformation in Banach spaces
• On Bounded Functions with Bounded nth Differences
• Functions with bounded nth differences
• On the Stability of the Linear Mapping in Banach Spaces
• On the Stability of the Linear Functional Equation

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