Glasnik Matematicki, Vol. 38, No.1 (2003), 45-55.

LOCAL STABILITY OF THE ADDITIVE FUNCTIONAL EQUATION

Soon-Mo Jung

Hong-Ik University, Mathematics Section, College of Science and Technology, 339--701 Chochiwon, Korea
e-mail: smjung@wow.hongik.ac.kr


Abstract.   In this paper, we prove the Hyers-Ulam stability of the additive functional equation for a number of unbounded domains. We moreover prove the stability of Jensen's functional equation for a large class of restricted domains.

2000 Mathematics Subject Classification.   39B82, 39B62.

Key words and phrases.   Hyers-Ulam stability, local stability, additive functional equation, Jensen's functional equation.


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