On the Hyers–Ulam–Rassias stability of functional equations in n-variables
Copyright policy )On the Hyers–Ulam–Rassias stability of functional equations in n-variables
In this interesting paper the author proves the stability in the sense of Hyers-Ulam-Rassias and Găvruţa for the functional equation \[ f(\varphi(X))=\phi(X)f(X)+\psi(X) \] and the stability in the sense of R. Ger for the functional equation \[ f(\varphi(X))=\phi(X)f(X), \] where \(X\) lies in \(n\)-variables. Some applications are given.
- Kangnam University Korea (Republic of)
- Department of Mathematics
Hyers–Ulam stability, Gamma, beta, and G-function, Systems of functional equations and inequalities, Applied Mathematics, Stability, separation, extension, and related topics for functional equations, Hyers–Ulam–Rassias stability, system, Functional equation, beta function, gamma function, Găvruţa stability, G-function, Hyers-Ulam stability, functional equation, Hyers-Ulam-Rassias stability, Gamma, beta and polygamma functions, Ger stability, Analysis
Hyers–Ulam stability, Gamma, beta, and G-function, Systems of functional equations and inequalities, Applied Mathematics, Stability, separation, extension, and related topics for functional equations, Hyers–Ulam–Rassias stability, system, Functional equation, beta function, gamma function, Găvruţa stability, G-function, Hyers-Ulam stability, functional equation, Hyers-Ulam-Rassias stability, Gamma, beta and polygamma functions, Ger stability, Analysis
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