논문KCI 등재
GENERALIZED HYERS–ULAM STABILITY OF ADDITIVE FUNCTIONAL EQUATIONS
한국수학교육학회|2009.08|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제16권 제3호|pp. 297-306
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In this paper, we obtain the general solution and the generalized Hyers- Ulam stability theorem for an additive functional equation af(x + y) + 2f(x/2+ y) + 2f(x +y/2) = (a + 3)[f(x) + f(y)] for any fixed integer a.
Abstract
In this paper, we obtain the general solution and the generalized Hyers- Ulam stability theorem for an additive functional equation af(x + y) + 2f(x/2+ y) + 2f(x +y/2) = (a + 3)[f(x) + f(y)] for any fixed integer a.
참고문헌 (11)
- A. L. Cauchy, "Cours d’analyse de l0´E cole Polytechnique, Vol. I" (1821), Analyse alg´ebrique
- Z. Gajda, "On the stability of additive mappings. Internat", J. Math. Math. Sci, 14, pp.431~434 (1991)
- P. Gˇavruta, "A generalization of the Hyers–Ulam–Rassias stability of approximatelyadditive mappings", J. Math. Anal. Appl, 184, pp.431~436 (1994)
- D. H. Hyers, "On the stability of the linear functional equation", Proc. Nat. Acad. Sci.U.S.A, 27, pp.222~224 (1941)
- D. H. Hyers, "Stability of Functional Equations in SeveralVariables" (1998), Birkh¨auser
- A. Najati, "Stability of homomorphisms on JB-triples associated to a Cauchy-Jensentype functional equation", J. Math. Ineq, 1, pp.83~103 (2007)
- J. M. Rassias, "Generalized Hyers-Ulam stability for general additive functionalequations in quasi- -normed spaces", J. Math. Anal. Appl, 356, pp.302~309 (2009)
- Th. M. Rassias, "On the stability of the linear mapping in Banach spaces", Proc. Amer.Math. Soc, 72, pp.297~300 (1978)
- Th. M. Rassias, "The stability of mappings and related topics, In ‘Report on the 27thISFE’", Aequationes. Math, 39, pp.292~293 (1990)
- Th. M. Rassias, "On the behaviour of mappings which do not satisfy Hyers-Ulam-Rassias stability", Proc. Amer. Math. Soc, 114, pp.989~993 (1992)
- S.M. Ulam, "A Collection of the Mathematical Problems" (1960), Interscience Publ
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