2014Unpublished venueRequires access

Non-Archimedean Approximation of Quadratic Functional Equations

Hassan Azadi Kenary, Habib Hoseini, Afshin Erami

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Abstract

In this paper, using the direct method, we prove the generalized Hyers-Ulam stability of the following functional equation f(3x ± y) =f(x ± y)+16f(x) in non-Archimedean normed spaces.

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What this paper is about

In this paper, using the direct method, we prove the generalized Hyers-Ulam stability of the following functional equation f(3x ± y) =f(x ± y)+16f(x) in non-Archimedean normed spaces.

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Available abstract

In this paper, using the direct method, we prove the generalized Hyers-Ulam stability of the following functional equation f(3x ± y) =f(x ± y)+16f(x) in non-Archimedean normed spaces.

Key concepts: Mathematics, Mathematics Subject Classification, Quadratic equation, Functional equation, Stability (learning theory), Functional analysis, Pure mathematics, Subject (documents)

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