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학술저널

THE GENERALIZED HYERS-ULAM-RASSIAS STABILITY OF A CUBIC FUNCTIONAL EQUATION

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In this paper, we obtain the general solution, the generalized Hyers-Ulam-Rassias stability, and the stability by using the alternative fixed point for a cubic functional equation 4f(x+my)+4f(x−my)+m2f(2x) = 8f(x)+4m2f(x+y)+4m2f(x−y) for a positive integer m  2 .

1. Introduction

2. Cubic functional equation

3. Stability

4. Stability using alternative fixed point

References

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