STABILITY OF A SEXVIGINTIC FUNCTIONAL EQUATION

Jung Rye Lee, Choonkil Park, Sandra Pinelas, Viya Govindan, K. Tamilvanan, G. Kokila

Abstract


In this paper, we estabilish the general solution of sexvigintic functional equation

f (x + 13y) − 26f (x + 12y) + 325f (x + 11y) − 2600f (x + 10y) + 14950f (x + 9y)−65780f (x + 8y) + 230230f (x + 7y) − 657800f (x + 6y) + 1562275f (x + 5y)−3124550f (x + 4y) + 5311735f (x + 3y) − 7726160f (x + 2y) + 9657700f (x + y)−10400600f (x) + 9657700f (x − y) − 7726160f (x − 2y) + 5311735f (x − 3y)−3124550f (x − 4y) + 1562275f (x − 5y) − 657800f (x − 6y) + 230230f (x − 7y)−65780f (x − 8y) + 14950f (x − 9y) − 2600f (x − 10y) + 325f (x − 11y)−26f(x − 12y) + f (x − 13y) = 26!f(y)

and investigate the Hyers-Ulam stability of this functional equation in Banach spaces using two different methods.


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ISSN: 1229-1595 (Print), 2466-0973 (Online)

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