On the stability of generalized d'Alembert and Jensen functional equations

DOI10.1155/IJMMS/2006/43185zbMath1131.39027MaRDI QIDQ2469030

Sever Silvestru Dragomir, Gwang Hui Kim

Publication date: 1 February 2008

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/53791

zbMATH Keywords

groupd'Alembert functional equationWilson 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) Functional equations for complex functions (39B32)

Related Items

Superstability of the \(p\)-power-radical functional equation related to sine function equation, Unnamed Item, Unnamed Item, Hyers-Ulam stability of a bi-Jensen functional equation on a punctured domain, On the superstability related with the trigonometric functional equation, Approximate quartic and quadratic mappings in quasi-Banach spaces, Superstability of \(p\)-radical functional equations related to Wilson-Kannappan-Kim functional equations, A FIXED POINT APPROACH TO THE STABILITY OF THE FUNCTIONAL EQUATION RELATED TO DISTANCE MEASURES, On the stability of the generalized sine functional equations, Approximate \((\alpha ,\beta ,\gamma )\)-derivation on random Lie \(C^*\)-algebras

Cites Work

• A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
• Functional equations on semigroups
• On Hyers-Ulam stability of Wilson's functional equation
• The stability of Jensen's equation on amenable locally compact groups
• On the cosine-sine functional equation on groups
• On Jensen's functional equation on groups
• Approximately isometric and multiplicative transformations on continuous function rings
• 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
• Jensen's functional equation on groups. III
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item