Journal of Function Spaces and Applications (Jan 2013)

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

  • Xiaopeng Zhao,
  • Xiuzhong Yang,
  • Chin-Tzong Pang

DOI
https://doi.org/10.1155/2013/673810
Journal volume & issue
Vol. 2013

Abstract

Read online

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 .