拟-$ β $- banach空间中广义根型三次泛函方程的近似解

Q4 Mathematics

Communications in Mathematical Analysis Pub Date : 2020-01-01 DOI:10.22130/SCMA.2018.87694.451

P. Kaskasem, Aekarach Janchada, C. Klin-eam

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引用次数: 0

摘要

本文利用直接方法证明了广义根式三次泛函方程[fleft(sqrt[3]{ax^3 + by^3}right)=af(x) + bf(y)，]的广义Hyers-Ulam-Rassias稳定性，其中$a， $b在mathbb{R}_+$中为固定正实数。此外，我们利用次加性函数研究了$(β，p)$-Banach空间中广义根型三次泛函方程的稳定性。

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

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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Communications in Mathematical Analysis Mathematics-Applied Mathematics

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