On Approximate Solutions of the Generalized Radical Cubic Functional Equation in Quasi-$beta$-Banach Spaces

نویسندگان

  • Aekarach Janchada Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand.
  • Chakkrid Klin-eam Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand and Research center for Academic Excellence in Mathematics, Naresuan University, Phitsanulok, 65000, Thailand.
  • Prondanai Kaskasem Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand.
چکیده مقاله:

In this paper, we prove the generalized Hyers-Ulam-Rassias stability of the generalized radical cubic functional equation[    fleft( sqrt[3]{ax^3 + by^3}right)=af(x) + bf(y),]    where $a,b in mathbb{R}_+$ are fixed positive real numbers, by using direct method in quasi-$beta$-Banach spaces. Moreover, we use subadditive functions to investigate stability of the generalized radical cubic functional equations in $(beta,p)$-Banach spaces.

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عنوان ژورنال

دوره 17  شماره 1

صفحات  69- 90

تاریخ انتشار 2020-01-01

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