Solution and Stability of a General Mixed Type Cubic and Quartic Functional Equation

We consider the following mixed type cubic and quartic functional equation = where is a fixed integer. We establish the general solution of the functional equation when the integer , and then, by using the fixed point alternative, we investigate the generalized Hyers-Ulam-Rassias stability for th...

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Bibliographic Details
Main Authors: Xiaopeng Zhao, Xiuzhong Yang, Chin-Tzong Pang
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2013/673810
Description
Summary:We consider the following mixed type cubic and quartic functional equation = where is a fixed integer. We establish the general solution of the functional equation when the integer , and then, by using the fixed point alternative, we investigate the generalized Hyers-Ulam-Rassias stability for this functional equation when the integer .
ISSN:0972-6802
1758-4965