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Volume 8, Issue 3, Article 89 |
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Hyers-Ulam-Rassias Stability of the $K$-Quadratic Functional Equation
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Authors: |
Mohamed Ait Sibaha, Belaid Bouikhalene, Elhoucien Elqorachi, |
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Keywords:
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Group, Additive equation, Quadratic equation, Hyers-Ulam-Rassias stability. |
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Date Received:
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26/01/07 |
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Date Accepted:
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08/06/07 |
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Subject Codes: |
39B82, 39B52, 39B32.
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Editors: |
Kazimierz Nikodem, |
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Abstract: |
In this paper we obtain the Hyers-Ulam-Rassias stability for the functional equation where  is a finite cyclic transformation group of the abelian group  , acting by automorphisms of  . As a consequence we can derive the Hyers-Ulam-Rassias stability of the quadratic and the additive functional equations.
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