Generalized Hyers-Ulam Stability of a Mixed Type Additive-quadratic Functional Equation in non-Archimedean Fields
K. Ravi *
Department of Mathematics, Sacred Heart College, Tirupattur-635 601, TamilNadu, India.
J. M. Rassias
Pedagogical Dept. E.E., Section of Mathematics and Informatics, National and Capodistrian University of Athens, 4, Agamemnonos Str., Aghia Paraskevi, Athens, Attikis 15342, Greece.
S. Sabarinathan
Department of Mathematics, Sacred Heart College, Tirupattur-635 601, TamilNadu, India.
*Author to whom correspondence should be addressed.
Abstract
In this paper, we investigate the generalized Hyers-Ulam stability of the functional equation
4[f(x + 3y) + f(3x + y)] − 9f(x + y) + 15f(x − y)
= 4f(3x) + 10f(x) + 9f(3y) − 35f(y)
in non-Archimedean elds.
Keywords: Additive functional equation, quadratic functional equation, hyers-ulam stability, non- Archimedean field.