Solution and Stability of the Multiquadratic Functional Equation-Reference-Cited by-同舟云学术

Solution and Stability of the Multiquadratic Functional Equation

Published:2013 Issue: Volume:2013 Page:1-8
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Zhao Xiaopeng¹²^ORCID,Yang Xiuzhong³,Pang Chin-Tzong⁴^ORCID

Affiliation:

1. Department of Mathematics, Zhejiang University, Hangzhou 310027, China

2. Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung 80424, Taiwan

3. College of Mathematics and Information Science, Hebei Normal University and Hebei Key Laboratory of Computational Mathematics and Applications, Shijiazhuang 050024, China

4. Department of Information Management, Yuan Ze University, Chungli 32003, Taiwan

Abstract

We consider the multiquadratic functional equation. We establish its general solution and provide a characterization for this functional equation. Finally, we prove the Hyers-Ulam-Rassias stability of this functional equation.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2013/415053.pdf

Reference29 articles.

1. On the Stability of the Linear Functional Equation

2. Hyers-Ulam-Rassias stability of Jensen’s equation and its application

3. The generalized Hyers–Ulam–Rassias stability of a cubic functional equation

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