Stability of a functional equation deriving from cubic and quadratic functions.

DOI10.1016/S0022-247X(03)00276-2zbMath1038.39015MaRDI QIDQ1405303

Ick-Soon Chang, Yong-Soo Jung

Publication date: 25 August 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

functional equationHyers-Ulam-Rassias stabilityquadratic functioncubic function

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)

Related Items (10)

Equalities and inequalities for several variables mappings ⋮ Stability for the functional equation of cubic type ⋮ Elementary remarks on Ulam-Hyers stability of linear functional equations ⋮ Ulam stability of a generalized reciprocal type functional equation in non-Archimedean fields ⋮ The structure of multimixed quadratic-cubic mappings and an application of fixed point theory ⋮ Fuzzy stability of quadratic-cubic functional equations ⋮ The stability of a cubic type functional equation with the fixed point alternative ⋮ On the stability of the functional equation \(f(2x+y)+f \left(\frac{x+y}{2}\right)=\frac{2f(x)f(y)}{f(x)+f(y)}+\frac{2f(x+y)f(y-x)}{3f(y-x)-f(x+y)}\) ⋮ A fixed point approach to the stability of a quadratic-cubic functional equation ⋮ On the Stability of a General Quadratic-Cubic Functional Equation in Non-Archimedean Normed Spaces

Cites Work

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