Abstract. In this paper we prove the stability of the Pexiderized quadratic inequalityϕ(x, y) in the spirit of D. H. Hyers, S. M. Ulam, Th. M. Rassias and P. Gȃvruta. (2000): Primary 39B72, 47H15. Mathematics subject classification

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In this paper, we modify L.Cȃdariu and V. Radu's result for the stability of the monomial functional equation n i=0 nCi(−1) n−i f (ix + y) − n!f (x) = 0 in the sense of Th. M. Rassias. Also, we investigate the superstability of the monomial functional equation.

In this paper we prove the Hyers-Ulam-Rassias stability by considering the cases that the approx-

In this paper we prove a generalization of the stability of the Pexider equa-Ž. Ž. Ž. tion f x q y s g x q h y in the spirit of Hyers, Ulam, Rassias, and Gavruta.

Abstract. We prove uniqueness theorems concerning the functional inequalities in connection with an n -dimensional cubic-quadratic-additive equationby applying the direct method.Mathematics subject classification (2010): 39B82, 39B52.

Abstract:In this paper, we prove the stability of the following functional equation ∑ n i=0 n C i (−1) n−i f (ix + y) − n! f (x) = 0 on a restricted domain by employing the direct method in the sense of Hyers.

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