On some equations stemming from quadrature rules

Barbara Koclęga-Kulpa, Tomasz Szostok, Szymon Wąsowicz


We deal with functional equations of the type

F(y)-F(x) =(y-x)∑k=1nfk((1-λk)x+λky),

connected to quadrature rules and, in particular, we find the solutions of the following functional equation


We also present a solution of the Stamate type equation


All results are valid for functions acting on integral domains.


Functional equations, polynomial functions, quadrature rules

Mathematics Subject Classification



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