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On the stability of Hosszú’s functional equation

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Abstract

Two stability results are proved. The first one states that Hosszú’s functional equation

$$f(x+y-xy)+f(xy)=f(x)-f(y)=0\ \ \ \ \ (x,y \in \rm R)$$

is stable. The second is a local stability theorem for additive functions in a Banach space setting.

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Authors and Affiliations

  1. Department of Mathematics, Kuwait University, 13060, P.O.BOX 5969, Safat, Kuwait

    László Losonczi

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  1. László Losonczi
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Correspondence to László Losonczi.

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Losonczi, L. On the stability of Hosszú’s functional equation. Results. Math. 29, 305–310 (1996). https://doi.org/10.1007/BF03322226

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  • DOI: https://doi.org/10.1007/BF03322226

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