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