On the stability of Hosszú’s functional equation
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Two stability results are proved. The first one states that Hosszú’s functional equation
is stable. The second is a local stability theorem for additive functions in a Banach space setting.
$$f(x+y-xy)+f(xy)=f(x)-f(y)=0\ \ \ \ \ (x,y \in \rm R)$$
1991 Mathematics Subject Classification39B72 47H15
Key WordsKey words and phrases Functional equations Hyers-Ulam stability
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- J. Tabor, Hosszú’s functional equation on the unit interval is not stable, Publ. Math. Debrecen (submitted).Google Scholar
© Birkhäuser Verlag, Basel 1996