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학술저널

GENERALIZED STABILITY OF EULER-LAGRANGE TYPE QUADRATIC MAPPINGS

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In this paper, we investigate the generalized Hyers{Ulam{Rasssias stability of the following Euler-Lagrange type qua- dratic functional equation f(ax+by+cz)+f(ax+by¡cz)+f(ax¡by + cz) + f(ax ¡ by ¡ cz) = 4a2f(x) + 4b2f(y) + 4c2f(z).

1. Introduction

2. Euler-Lagrange type quadratic mapping in Banach spaces

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