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학술저널

ON THE STABILITY OF A GENERAL ADDITIVE FUNCTIONAL INEQUALITY IN BANACH SPACES

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In this paper, we prove the generalized Hyers-Ulam stability of the additive functional inequality kf(2x1) + f(2x2) + &cent; &cent; &cent; + f(2xn)k · ktf (x1 + x2 + &cent; &cent; &cent; + xn)k in Banach spaces where a positive integer n ¸ 3 and a real number t such that 2 · t < n.

1. Introduction

2. Hyers-Ulam stability in Banach spaces

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