On the Generalized Hyers-Ulam Stability of an n-Dimensional Quadratic and Additive Type Functional Equation

Yang-Hi Lee

doi:10.1155/2014/184680

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Home > Journals > J. Appl. Math. > Volume 2014 > Article

2014 On the Generalized Hyers-Ulam Stability of an

n

-Dimensional Quadratic and Additive Type Functional Equation

Yang-Hi Lee

J. Appl. Math. 2014: 1-9 (2014). DOI: 10.1155/2014/184680

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Abstract

We investigate the generalized Hyers-Ulam stability of a functional equation $f({\sum }_{j=1}^{n}\mathrm{‍}{x}_{j})+(n-2){\sum }_{j=1}^{n}\mathrm{‍}f({x}_{j})-{\sum }_{1\le i<j\le n}f({x}_{i}+{x}_{j})=0$ .

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Yang-Hi Lee. "On the Generalized Hyers-Ulam Stability of an $n$ -Dimensional Quadratic and Additive Type Functional Equation." J. Appl. Math. 2014 1 - 9, 2014. https://doi.org/10.1155/2014/184680