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In this paper, we investigate the stability of two functional equations f(ax+by + cz) - abf(x + y) - bcf(y + z) - acf(x + z) + bcf(y) - a(a - b - c)f(x) - b(b - a)f(-y) - c(c - a - b)f(z) = 0, f(ax+by + cz) + abf(x - y) + bcf(y - z) + acf(x - z) - a(a + b + c)f(x) - b(a + b + c)f(y) - c(a + b + c)f(z) = 0 by applying the direct method in the sense of Hyers and Ulam.
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참고문헌 (9)
참고문헌 신청
T. Aoki / 1950 / On the stability of the linear transformation in Banach spaces / J. Math. Soc. Japan 2:64~66
P. Gavruta / 1994 / A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings / J. Math. Anal. Appl. 184:431~436
D. H. Hyers / 1941 / On the stability of the linear functional equation / Proc. Natl. Acad. Sci. USA 27:222~224
S.-S. Jin / 2016 / Generalized Hyers-Ulam stability of a 3 dimenional quadratic functional equation / Int. J. Math. Anal. (Ruse) 10:719~728
S.-S. Jin / 2016 / Generalized Hyers-Ulam stability of a 3 dimenional quadratic functional equation in modular spaces / Int. J. Math. Anal. (Ruse) 10:953~963
P. Gavruta / 1994 / A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings / J. Math. Anal. Appl. 184:431~436
D. H. Hyers / 1941 / On the stability of the linear functional equation / Proc. Natl. Acad. Sci. USA 27:222~224
S.-S. Jin / 2016 / Generalized Hyers-Ulam stability of a 3 dimenional quadratic functional equation / Int. J. Math. Anal. (Ruse) 10:719~728
S.-S. Jin / 2016 / Generalized Hyers-Ulam stability of a 3 dimenional quadratic functional equation in modular spaces / Int. J. Math. Anal. (Ruse) 10:953~963
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