Research articles
ScienceAsia (): 381-385 |doi:
10.2306/scienceasia1513-1874...381
An n-dimensional mixed-type additive and quadratic functional equation and its stability
Wanchitra Towanlong, Paisan Nakmahachalasint*
ABSTRACT: We determine the general solution of the n-dimensional mixed-type additive and quadratic functional equation, 2f(∑ni=1xi) +∑1≤ i,j ≤ n, i≠ jf(xi−xj) = (n+1)∑ni=1f(xi)+(n−1)∑ni=1f(−xi), where n>1, and investigate its general stability.
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Department of Mathematics, Faculty of Science, Chulalongkorn University, Pathumwan, Bangkok 10330, Thailand |
* Corresponding author, E-mail: paisan.n@chula.ac.th
Received 24 Oct 2008, Accepted 20 Oct 2009
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