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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2019.1
- 수록면
- 247 - 254 (8page)
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2019
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In this paper, we investigate Hyers-Ulam-Rassias stability of the functional equation \begin{align*} f(x+ky) & - k^2 f(x+y)+2(k^2-1)f(x)- k^2 f(x-y)+ f(x-ky)\nonumber \\ & - k^2(k^2 -1)(f(y) + f(-y))=0. %\\ f(x+2y) & - 4 f(x+y)+ 6f(x)- 4 f(x-y)+ f(x-2y)\nonumber % \\ & - f(2y)-f(-2y) + 4 f(y)+ 4 f(-y)=0, \end{align*} where $k$ is a fixed real number with $k \not\in \{ 0, 1,-1 \}$
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참고문헌 (11)
참고문헌 신청
J. Baker / 2005 / A general functional equation and its stability / Proc. Natl. Acad. Sci 133(6):1657~1664
Y.J. Cho / 2011 / Lattictic non-archimedean random stability of ACQ functional equation / Adv. Differ. Equ :31
P. Gavruta / 1994 / A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings / J. Math. Anal. Appl 184:431~436
M.E. Gordji / 2013 / Solutions and stability of gener-alized mixed type QCA-functional equations in random normed spaces / Annals of the Alexandru Ioan Cuza University-Mathematics 59:299~320
M.E. Gordji / 2009 / Stability of an additive-cubic-quartic functional equation / Adv. Differ. Equ
Y.J. Cho / 2011 / Lattictic non-archimedean random stability of ACQ functional equation / Adv. Differ. Equ :31
P. Gavruta / 1994 / A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings / J. Math. Anal. Appl 184:431~436
M.E. Gordji / 2013 / Solutions and stability of gener-alized mixed type QCA-functional equations in random normed spaces / Annals of the Alexandru Ioan Cuza University-Mathematics 59:299~320
M.E. Gordji / 2009 / Stability of an additive-cubic-quartic functional equation / Adv. Differ. Equ
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