Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc. 2009; 46(1): 11-23

Printed January 1, 2009

Copyright © The Korean Mathematical Society.

The stability of functional inequalities with additive mappings

Young-Sun Cho and Kil-Woung Jun

Chungnam National University

Abstract

In this paper, we prove the generalized Hyers--Ulam stability of the functional inequalities associated with additive functional mappings. Also, we find the solution of these inequalities which satisfy certain conditions.

Keywords: Jordan--Von Neumann functional equation, generalized Hyers--Ulam stability, functional inequality

MSC numbers: Primary 39B62; Secondary 39B82