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학술저널

STABILITY OF A CUBIC FUNCTIONAL EQUATION IN p-BANACH SPACES

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In this paper, we investigate the stability of a cubic functional equation f(x + ny) + f(x ¡ ny) + f(nx)= n2f(x + y) + n2f(x ¡ y) + (n3 ¡ 2n2 + 2)f(x) in p-Banach spaces and in Banach modules, where n ¸ 2 is an integer.

1. Introduction

2. Results in p-Banach spaces

3. Results in Banach modules over a Banach algebra

4. Results in Banach modules over a C¤-algebra

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