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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2016.1
- 수록면
- 247 - 263 (17page)
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초록· 키워드
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M_1f(x,y) : & = & \frac{3}{4} f(x+y) - \frac{1}{4}f(-x-y) + \frac{1}{4} f(x-y) + \frac{1}{4} f(y-x) - f(x) - f(y),\\ M_2 f(x,y): &= &2 f\left( \frac{x+y}{2} \right) + f\left( \frac{x-y}{2}\right) + f\left( \frac{y-x}{2}\right) - f(x) - f(y).
Using the direct method, we prove the Hyers-Ulam stability of the additive-quadratic $\rho$-functional inequalities N(M_1f(x,y),t) \ge N\left(\rho M_2 f(x,y), t \right) where $\rho$ is a fixed real number with $|\rho|<1$, and N\left(M_2f(x,y),t\right) \ge N\left(\rho M_1f(x,y),t\right) where $\rho$ is a fixed real number with $|\rho|<\frac{1}{2}$.
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참고문헌 (40)
참고문헌 신청
M. Adam / 2011 / J. Nonlinear Sci. Appl / J. Nonlinear Sci. Appl 4:50~59
T. Aoki / 1950 / On the stability of the linear transformation in Banach spaces / J. Math. Soc. Japan 2:64~66
T. Bag / 2003 / Finite dimensional fuzzy normed linear spaces / J. Fuzzy Math 11:687~705
T. Bag / 2005 / Fuzzy bounded linear operators / Fuzzy Sets and Systems 151:513~547
L. C¸adariu / 2013 / On the stability of an a±ne functional equation / J. Nonlinear Sci. Appl 6:60~67
T. Aoki / 1950 / On the stability of the linear transformation in Banach spaces / J. Math. Soc. Japan 2:64~66
T. Bag / 2003 / Finite dimensional fuzzy normed linear spaces / J. Fuzzy Math 11:687~705
T. Bag / 2005 / Fuzzy bounded linear operators / Fuzzy Sets and Systems 151:513~547
L. C¸adariu / 2013 / On the stability of an a±ne functional equation / J. Nonlinear Sci. Appl 6:60~67
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