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In this paper, I prove the stability problem for a quadratic-cubic functional equation $f (x +ky)&-k^2f (x + y)-k^2f (x - y)+ f (x-ky) + f ( kx)-\frac{k^3-3k^2+4}2f (x)+\frac{k^3-k^2}2f (-x)= 0$ in modular spaces by applying the direct method.
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참고문헌 (21)
참고문헌 신청
T. Aoki / 1950 / On the stability of the linear transformation in Banach spaces / J. Math. Soc. Japan 2:64~66
J. Baker / 2005 / A general functional equation and its stability / Proc. Natl. Acad. Sci 133(6):1657~1664
I.-S. Chang / 2003 / Stability of a functional equation deriving from cubic and quadratic functions / J. Math. Anal. Appl 283:491~500
Y.-J. Cho / 2010 / Solutions and Stability of Generalized Mixed Type QC Functional Equations in Random Normed Spaces / J. Inequal. Appl 2010
S. Czerwik / 1992 / On the stability of the quadratic mapping in the normed space / Abh. Math. Sem. Hamburg 62:59~64
J. Baker / 2005 / A general functional equation and its stability / Proc. Natl. Acad. Sci 133(6):1657~1664
I.-S. Chang / 2003 / Stability of a functional equation deriving from cubic and quadratic functions / J. Math. Anal. Appl 283:491~500
Y.-J. Cho / 2010 / Solutions and Stability of Generalized Mixed Type QC Functional Equations in Random Normed Spaces / J. Inequal. Appl 2010
S. Czerwik / 1992 / On the stability of the quadratic mapping in the normed space / Abh. Math. Sem. Hamburg 62:59~64
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