Stability of an alternative Jensen's functional equation

Paisan Nakmahachalasint

ABSTRACT: We prove the Hyers-Ulam stability of an alternative Jensen's functional equation (f(x)+f(y))/2=±f((x+y)/2) in the class of mappings from 2-divisible abelian groups to Banach spaces.

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Department of Mathematics and Computer Science, Faculty of Science, Chulalongkorn University, Bangkok 10330 Thailand

* Corresponding author, E-mail: Paisan.N@chula.ac.th

Received 14 Jan 2013, Accepted 6 Nov 2013