The stability of d'Alembert and Jensen type functional equations

DOI10.1016/j.jmaa.2006.01.062zbMath1106.39026OpenAlexW2018878058MaRDI QIDQ854043

Gwang Hui Kim

Publication date: 7 December 2006

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.2006.01.062

zbMATH Keywords

Hyers-Ulam-Rassias stabilitycosine functional equationsuperstabilityd'Alembert type functional equation, Jensen type 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 (21)

Wilson's type Hilbert space valued functional equations ⋮ Superstability of some Pexider-type functional equation ⋮ Superstability problem for a large class of functional equations ⋮ Superstability of the \(p\)-power-radical functional equation related to sine function equation ⋮ Solutions and Stability of Some Functional Equations on Semigroups ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On the superstability of generalized d'Alembert harmonic functions ⋮ On the stability of trigonometric functional equations ⋮ Hyers-Ulam stability of a bi-Jensen functional equation on a punctured domain ⋮ Stability of trigonometric functional equations in generalized functions ⋮ On the superstability of the Pexider type trigonometric functional equation ⋮ On the superstability related with the trigonometric functional equation ⋮ Unnamed Item ⋮ On the stability of the pexiderized trigonometric functional equation ⋮ A FIXED POINT APPROACH TO THE STABILITY OF THE FUNCTIONAL EQUATION RELATED TO DISTANCE MEASURES ⋮ Boundedness of approximate trigonometric functions ⋮ On the stability of the generalized sine functional equations ⋮ Unnamed Item ⋮ ON THE SUPERSTABILITY OF THE GENERALIZED SINE FUNCTIONAL EQUATIONS ⋮ Two general theorems on superstability of functional equations

Cites Work

• Functional equations on semigroups
• On the cosine-sine functional equation on groups
• The Stability of the Cosine Equation
• The Stability of the Equation f(x + y) = f(x)f(y)
• On the Stability of the Linear Mapping in Banach Spaces
• The Functional Equation f(xy) + f(xy -1 ) = 2f(x)f(y) for Groups
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

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