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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2019.1
- 수록면
- 689 - 701 (13page)
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Let A and B be real (or complex) algebras. We investigate the stability of a sequence F = {f, f_0, f_1, ... , f_n, ... } of mappings from A into B satisfying the higher functional equation:f_n(x + y + zw) = f_n(x) + f_n(y) +Σ_{i+j=n, i<=j}[f_i(z)f_j(w) + c_{ij}f_i(w)f_j(z)] for each n = 0,1,... and all x, y, z,w ∈ A, where c_{ij} =1 if i ≠ j; 0 if i = j
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참고문헌 (18)
참고문헌 신청
T. Aoki / 1950 / On the stability of the linear transformation in Banach spaces / J. Math. Soc. Japan 2:64~66
R. Badora / 2002 / On approximate ring homomorphisms / J. Math. Anal. Appl 276(2):589~597
R. Badora / 2006 / On approximate derivations / Math. Inequal. Appl 9(1):167~173
D. G. Bourgin / 1949 / Approximately isometric and multiplicative transformations on contin-uous function rings / Duke Math. J 16:385~397
M. Bresar / 1990 / On left derivations and related mappings / Proc. Amer. Math. Soc 110:7~16
R. Badora / 2002 / On approximate ring homomorphisms / J. Math. Anal. Appl 276(2):589~597
R. Badora / 2006 / On approximate derivations / Math. Inequal. Appl 9(1):167~173
D. G. Bourgin / 1949 / Approximately isometric and multiplicative transformations on contin-uous function rings / Duke Math. J 16:385~397
M. Bresar / 1990 / On left derivations and related mappings / Proc. Amer. Math. Soc 110:7~16
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