Title of article :
On Approximate Solutions of the Generalized Radical Cubic Functional Equation in Quasi-β-Banach Spaces
Author/Authors :
Kaskasem ، Prondanai Department of Mathematics - Faculty of Science - Naresuan University , Janchada ، Aekarach Department of Mathematics - Faculty of Science - Naresuan University , Klin-eam ، Chakkrid Department of Mathematics - Faculty of Science, Thailand and Research center for Academic Excellence in Mathematics - Naresuan University
Abstract :
In this paper, we prove the generalized Hyers-Ulam Rassias stability of the generalized radical cubic functional equation f (√3 ax^3 + by^3 ) = af(x) + bf(y), where a, b ∈ R+ are fixed positive real numbers, by using direct method in quasi-β-Banach spaces. Moreover, we use subadditive functions to investigate stability of the generalized radical cubic functional equations in (β, p)-Banach spaces.
Keywords :
Hyers , Ulam , Rassias stability , Radical cubic functional equation , Quasi , β , normed spaces , Subadditive function
Journal title :
Sahand Communications in Mathematical Analysis
Journal title :
Sahand Communications in Mathematical Analysis
