On the Hyers-Ulam-Rassias stability of functional equations in n-variables |
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Authors: | Gwang Hui Kim |
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Affiliation: | Department of Mathematics, Kangnam University, Suwon, 449-702, Republic of Korea |
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Abstract: | In this paper we investigate a generalization of the Hyers-Ulam-Rassias stability for a functional equation of the form f(φ(X))=?(X)f(X)+ψ(X) and the stability in the sense of Ger for the functional equation of the form f(φ(X))=?(X)f(X), where X lie in n-variables. As a consequence, we obtain a stability result in the sense of Hyers-Ulam-Rassias, Gǎvruta, and Ger for some well-known equations such as the gamma, beta, and G-function type's equations. |
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Keywords: | Functional equation Gamma, beta, and G-function Hyers-Ulam stability Hyers-Ulam-Rassias stability |
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