Approximate mixed type additive and quartic functional equation

In the current work, we introduce a general form of a mixed additive and quartic functional equation. We determine all solutions of this functional equation. We also establish the generalized Hyers-Ulam stability of this new functional equation in quasi-$\beta$-normed spaces.

Bibliographic Details
Main Author: Abasalt Bodaghi
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2017-10-01
Series:Boletim da Sociedade Paranaense de Matemática
Subjects:
Online Access:http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/29014