A stability of the generalized sine functional equations

DOI10.1016/j.jmaa.2006.09.037zbMath1119.39024OpenAlexW2091078589MaRDI QIDQ878459

Gwang Hui Kim

Publication date: 26 April 2007

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.09.037

zbMATH Keywords

Banach algebraHyers-Ulam stabilityabelian groupsuperstabilitysine 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)

Related Items (16)

Remarks on Stability of the Linear Functional Equation in Single Variable ⋮ Superstability of some Pexider-type functional equation ⋮ Superstability of the \(p\)-power-radical functional equation related to sine function equation ⋮ Stability of the Pexiderized Lobacevski equation ⋮ Solution and stability of a general mixed type cubic and quartic functional equation ⋮ Unnamed Item ⋮ A sine type functional equation on a topological group ⋮ Unnamed Item ⋮ On the stability of trigonometric functional equations ⋮ On the superstability of the Pexider type trigonometric functional equation ⋮ On the superstability related with the trigonometric functional equation ⋮ Stability of a generalized trigonometric functional equation ⋮ On approximate solutions of the linear functional equation of higher order ⋮ On the stability of the pexiderized trigonometric functional equation ⋮ On the stability of the generalized sine functional equations ⋮ ON THE SUPERSTABILITY OF THE GENERALIZED SINE FUNCTIONAL EQUATIONS

Cites Work

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• d'Alembert's and Wilson's equations on Lie groups
• The Stability of the Sine Equation
• The Stability of the Cosine Equation
• The Stability of the Equation f(x + y) = f(x)f(y)
• The Functional Equation f(xy) + f(xy -1 ) = 2f(x)f(y) for Groups
• On the Stability of the Linear Functional Equation

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