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Fréchet functional equations with restricted spans: Solution on real numbers

Wanchitra Towanlong, Paisan Nakmahachalasint^*

 
ABSTRACT:     Our aim is to determine the general solution of the Fréchet functional equation, Δ_h1,...,hm+1f(x)=0, when the span h_i is restricted to an open interval (a_i,b_i) for each i=1,...,m+1.

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

Received 22 Apr 2011, Accepted 31 May 2011