Approximate mixed type quadratic-cubic functional equation

In this paper, we investigate the generalized Hyers-Ulam stability of the following mixed type quadratic-cubic functional equation 2f (2x + y) + 2f (2x - y) = 4f (x + y) + 4f (x - y) + 4f (2x) + f (2y) - 8f(x) - 8f (y) in non-Archimedean (n,[beta])-normed spaces. Keywords: generalized Hyers-Ulam sta...

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Veröffentlicht in:	AIMS Mathematics 2021-01, Vol.6 (4), p.3546-3561
1. Verfasser:	Wang, Zhihua
Format:	Artikel
Sprache:	eng
Schlagworte:	(n，β)-normed spaces generalized hyers-ulam stability mixed type quadratic-cubic functional equation non-archimedean (n，β)-normed spaces
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Beschreibung
Zusammenfassung:	In this paper, we investigate the generalized Hyers-Ulam stability of the following mixed type quadratic-cubic functional equation 2f (2x + y) + 2f (2x - y) = 4f (x + y) + 4f (x - y) + 4f (2x) + f (2y) - 8f(x) - 8f (y) in non-Archimedean (n,[beta])-normed spaces. Keywords: generalized Hyers-Ulam stability; mixed type quadratic-cubic functional equation; (n,[beta])-normed spaces; non-Archimedean (n,[beta])-normed spaces Mathematics Subject Classification: 39B82, 39B72
ISSN:	2473-6988 2473-6988
DOI:	10.3934/math.2021211