10.30495/maca.2021.1935651.1018

Some approximations for an equation in modular spaces

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  • Mehdi Salehi Barough1,
  1. Department of Medical Radiation Engineering, Central Tehran Branch, Islamic Azad University, Tehran, Iran.

Published in Issue 2021-06-21

How to Cite

Some approximations for an equation in modular spaces. (2021). Mathematical Analysis and Its Contemporary Applications, 3(3). https://doi.org/10.30495/maca.2021.1935651.1018

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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 Xρ by applying ∆2 -condition and the Fatou property (in some results) in the modular function ρ.

Keywords

  • Hyers-Ulam stability,
  • Modular space,
  • Quadratic-cubic functional equation
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