Remarks on the stability of additive functional equation

Kil-Woung Jun; Hark-Mahn Kim

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Bull. Korean Math. Soc. 2001; 38(4): 679-687

Printed December 1, 2001

Remarks on the stability of additive functional equation

Kil-Woung Jun and Hark-Mahn Kim

Chungnam National University, Chungnam National University

Abstract

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Abstract

In this paper, using an idea from the direct method of Hyers, we give the conditions in order for a linear mapping near an approximately additive mapping to exist.

Keywords: Hyers-Ulam-Rassias stability, functional equation

MSC numbers: 39B52, 39B72

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Remarks on the stability of additive functional equation

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