Some approximations for an equation in modular spaces

Volume 3, Issue 3
Summer 2021
Pages 51-64

Document Type : Original Article

Author

Department of Medical Radiation Engineering, Centetal Tehran Branch, Islamic Azad University,Tehran,Iran

Abstract
In this paper, we introduce and obtain the general solution of a new mixed type quadratic-cubic functional equation. We investigate the stability of such functional equations in the modular space $X_\rho$ by applying $\Delta_2$-condition and the Fatou property (in some results) in the modular function $\rho$.
  • Receive Date 15 May 2021
  • Revise Date 19 August 2021
  • Accept Date 01 September 2021