STABILITY OF A MIXED TYPE CUBIC AND QUARTIC FUNCTIONAL EQUATION IN 2-BANACH SPACE
R. MURALI *
Department of Mathematics, Sacred Heart College, Tirupattur, Tamilnadu, India.
M. BOOBALAN
Department of Mathematics, Sacred Heart College, Tirupattur, Tamilnadu, India.
A. ANTONY RAJ
Department of Mathematics, Sacred Heart College, Tirupattur, Tamilnadu, India.
*Author to whom correspondence should be addressed.
Abstract
In this paper, we investigate the Hyers-Ulam stability of the functional equation
g(2x + y) + g(2x − y) =3g(x + y) + 3g(x − y) + g(−x − y) + g(y − x)
+18g(x) + 6g(−x) − 3g(y) − 3g(−y) (0.1)
in 2-Banach space.
Keywords: Hyers-Ulam stability, 2-Banach space, cubic-quartic functional equation