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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2008.1
- 수록면
- 45 - 61 (17page)
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We investigate the generalized Hyers-Ulam-Rassias stability in p-Banach spaces for the following functional equation which is two types, that is, either cubic or quadratic: 2f(x + 3y) + 6f(x − y) + 12f(2y) = 2f(x − 3y) + 6f(x + y) + 3f(4y). The concept of Hyers-Ulam-Rassias stability originated essentially with the Th. M. Rassias’ stability theorem that appeared in his paper: On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc., 72 (1978), 297-300.
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참고문헌 (29)
참고문헌 신청
C. Park / 2004 / Generalized quadratic mappings in several variables / Nonlinear Anal. -TMA 57 : 713 ~ 722
C. Park / 2005 / Cauchy-Rassias stability of a generalized Trif 's mapping in Banach modules and its applications / Nonlinear Anal. -TMA 62 : 595 ~ 613
D. H. Hyers / 1941 / On the stability of the linear functional equation / Proc. Natl. Acad. Sci 27 : 222 ~ 224
D. H. Hyers / 1998 / Rassias, On the asymptoticity aspect of Hyers-Ulam stability of mappings / Proc. Amer. Math. Soc 126 : 425 ~ 430
D. H. Hyers / 1998 / Stability of Functional Equations in Several Variables / Birkhauser, Basel
C. Park / 2005 / Cauchy-Rassias stability of a generalized Trif 's mapping in Banach modules and its applications / Nonlinear Anal. -TMA 62 : 595 ~ 613
D. H. Hyers / 1941 / On the stability of the linear functional equation / Proc. Natl. Acad. Sci 27 : 222 ~ 224
D. H. Hyers / 1998 / Rassias, On the asymptoticity aspect of Hyers-Ulam stability of mappings / Proc. Amer. Math. Soc 126 : 425 ~ 430
D. H. Hyers / 1998 / Stability of Functional Equations in Several Variables / Birkhauser, Basel
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