On the stability of the orthogonal pexiderized quartic functional equations (Q2798823)
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scientific article; zbMATH DE number 6568234
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the stability of the orthogonal pexiderized quartic functional equations |
scientific article; zbMATH DE number 6568234 |
Statements
13 April 2016
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Hyers-Ulam-Aoki-Rassias stability
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Ulam-Gavruta-Rassias stability
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T. M. Rassias stability
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Pexider functional equation
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quartic functional equation
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orthogonality space
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On the stability of the orthogonal pexiderized quartic functional equations (English)
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Suppose that \((X, \bot)\) is an orthogonality space in the sense of Ratz, and \(f, g:(X, \bot) \to \mathbb{R}\) are two real functionals. In this paper, the authors investigate the Hyers-Ulam stability of the orthogonal functional equation NEWLINE\[NEWLINE2f(2x+y)+2f(2x-y)=2g(x+y)+2g(x-y)+12g(x)-3g(y)NEWLINE\]NEWLINE for each \(x, y\in X\), with \(x \bot y\). It seems that the authors are inspired by \textit{M. Mirzavaziri} and \textit{M. S. Moslehian} [Bull. Braz. Math. Soc. (N.S.) 37, No. 3, 361--376 (2006; Zbl 1118.39015)] and missed to cite it.
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