We show that each type of deformation of oscillators is nothing but a type of nonlinear oscillators with a concrete nonlinearity. This work, therefore, extends and generalizes some results of Mank'o V. I., Marmo G., Solimeno S. and Zaccaria F., Int. J. Mod. Phys. A, 8 (1993) 3577, Mank'o V. I., Marmo G. and Zaccaria F., Phys. Lett. A, 197 (1995) 95, and Finkelstein R. J. Lett. Math. Phys., 34 (1995) 169 to the case of general deformation. Interestingly, the nature of f-deformation in Mank'o V. I., Marmo G., Solimeno S. and Zaccaria F., Int. J. Mod. Phys. A, 8 (1993) 3577, and Mank'o V. I., Marmo G. and Zaccaria F., Phys. Lett. A, 197 (1995) 95 is also clarified. In addition, some physical consequences of general deformation are derived and the generalized deformed Klein-Gordon equation is considered.

Bang H.H.

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