3 Dimensional additive quadratic functional equation
In this paper, the authors established the general solution and generalized Ulam - Hyers stability of an 3 dimensional additive quadratic functional equation$$\begin{aligned}& h(x+2 y+3 z)+h(x+2 y-3 z)+h(x-2 y+3 z)+h(-x+2 y+3 z) \\&=h(x+y+z)+h(x+y-z)+h(x-y+z)+h(-x+y+z) \\&+2 h(y)+4 h(z)+...
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Veröffentlicht in: | Malaya journal of matematik 2017-01, Vol.5 (1), p.72-103 |
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Hauptverfasser: | , , , |
Format: | Artikel |
Sprache: | eng |
Online-Zugang: | Volltext |
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Zusammenfassung: | In this paper, the authors established the general solution and generalized Ulam - Hyers stability of an 3 dimensional additive quadratic functional equation$$\begin{aligned}& h(x+2 y+3 z)+h(x+2 y-3 z)+h(x-2 y+3 z)+h(-x+2 y+3 z) \\&=h(x+y+z)+h(x+y-z)+h(x-y+z)+h(-x+y+z) \\&+2 h(y)+4 h(z)+5[h(y)+h(-y)]+14[h(z)+h(-z)]\end{aligned}$$via Banach space and non-Archimedean fuzzy Banach Space using direct and fixed point methods. |
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ISSN: | 2319-3786 2321-5666 |
DOI: | 10.26637/mjm501/008 |