On the stability of the generalized sine functional equations

DOI10.1007/s10114-008-6621-6zbMath1181.39021OpenAlexW1569568031MaRDI QIDQ1034215

Gwang Hui Kim

Publication date: 11 November 2009

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-008-6621-6

zbMATH Keywords

stabilityBanach algebraAbelian groupcosine functional equationsuperstabilitysine 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)

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Cites Work

• The stability of d'Alembert and Jensen type functional equations
• A stability of the generalized sine functional equations
• d'Alembert's and Wilson's equations on Lie groups
• Generalized sine equations. III
• On the stability of generalized d'Alembert and Jensen functional equations
• 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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