An alternative Jensen's functional equation on semigroups

Paisan Nakmahachalasint

ABSTRACT: We study the alternative Jensen's functional equation f(x)±2f(xy)+f(xy²)=0 when f is a function from a semigroup or a group to a uniquely divisible abelian group.

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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 22 Aug 2012, Accepted 30 Nov 2012