Solution and Stability of the Multiquadratic Functional Equation

Xiaopeng Zhao; Xiuzhong Yang; Chin-Tzong Pang

doi:10.1155/2013/415053

Abstract and Applied Analysis (Jan 2013)

Solution and Stability of the Multiquadratic Functional Equation

Xiaopeng Zhao,
Xiuzhong Yang,
Chin-Tzong Pang

Affiliations

Xiaopeng Zhao: Department of Mathematics, Zhejiang University, Hangzhou 310027, China
Xiuzhong Yang: College of Mathematics and Information Science, Hebei Normal University and Hebei Key Laboratory of Computational Mathematics and Applications, Shijiazhuang 050024, China
Chin-Tzong Pang: Department of Information Management, Yuan Ze University, Chungli 32003, Taiwan

DOI: https://doi.org/10.1155/2013/415053
Journal volume & issue: Vol. 2013

Abstract

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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.

Published in Abstract and Applied Analysis

ISSN: 1085-3375 (Print); 1687-0409 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/4058

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