Taiwanese Journal of Mathematics

ON THE STABILITY OF AN n-DIMENSIONAL FUNCTIONAL EQUATION ORIGINATING FROM QUADRATIC FORMS

Abstract

In this paper, we investigate the generalized Hyers-Ulam-Rassias stability of an $n$-dimensional functional equation \begin{equation*} f\Big(\sum_{i=1}^{n}x_i, \sum_{i=1}^{n}y_i\Big)+\!\sum_{1\le i \lt j\le n}f(x_i-x_j, y_i-y_j)=n\sum_{i=1}^{n}f(x_i, y_i), \,\,\, (n\ge2). \end{equation*}

Article information

Source
Taiwanese J. Math., Volume 12, Number 7 (2008), 1609-1624.

Dates
First available in Project Euclid: 18 July 2017

https://projecteuclid.org/euclid.twjm/1500405074

Digital Object Identifier
doi:10.11650/twjm/1500405074

Mathematical Reviews number (MathSciNet)
MR2449651

Zentralblatt MATH identifier
1173.39008

Subjects
Primary: 39B72: Systems of functional equations and inequalities 47H15

Citation

Najati, Abbas; Park, Choonkil. ON THE STABILITY OF AN n-DIMENSIONAL FUNCTIONAL EQUATION ORIGINATING FROM QUADRATIC FORMS. Taiwanese J. Math. 12 (2008), no. 7, 1609--1624. doi:10.11650/twjm/1500405074. https://projecteuclid.org/euclid.twjm/1500405074

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