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STABILITY OF A SEXVIGINTIC FUNCTIONAL EQUATION
Lee Jung Rye,Park Choonkil,Pinelas Sandra,Govindan Viya,Tamilvanan K.,Kokila G. 경남대학교 수학교육과 2019 Nonlinear Functional Analysis and Applications Vol.24 No.2
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.