Stability of a quartic and additive functional equation in 2-banach space
Journal: International Journal of Mathematics and Soft Computing (Vol.4, No. 2)Publication Date: 2014.07.13
Authors : B M Patel;
Page : 19-31
Keywords : Hyers-Ulam stability; 2-Banach space; quartic functional equation;
Abstract
In this paper, we investigate the generalized Hyers-Ulam stability of the functional
equation $f(2x+y) +f(2x-y) = 4(f(x+y)+f(x-y)) - frac {3} {7} (f(2y)-2f(y)) + 2f(2x) - 8f(x)$ in a $2$-Banach space.
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