caa a22 4500 477094449 CHVBK 20180405111523.0 cr unu---uuuuu 170330e19960501xx s 000 0 eng 10.1007/BF03322226 doi (NATIONALLICENCE)springer-10.1007/BF03322226 Losonczi László Department of Mathematics, Kuwait University, P.O.BOX 5969, 13060, Safat, Kuwait aut On the stability of Hosszú's functional equation [Elektronische Daten] [László Losonczi] Two stability results are proved. The first one states that Hosszú's functional equation % MathType!MTEF!2!1!+-% feaaeaart1ev0aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXanrfitLxBI9gBaerbd9wDYLwzYbItLDharqqt% ubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq% -Jc9vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0x% fr-xfr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamyuam% aaBaaaleaacaaIXaGaaGimaaqabaGccqGH9aqpciGGSbGaaiOBaiaa% ysW7caWGRbWaaSbaaSqaaiaadsfacaaIXaaabeaakiaac+cacaWGRb% WaaSbaaSqaaiaadsfacaaIYaaabeaakiabg2da9iabgkHiTmaabmaa% baGaamyramaaBaaaleaacaWGHbaabeaakiaac+cacaWGsbaacaGLOa% GaayzkaaGaey41aq7aaiWaaeaadaqadaqaaiaadsfadaWgaaWcbaGa% aGOmaaqabaGccqGHsislcaWGubWaaSbaaSqaaiaaigdaaeqaaaGcca% GLOaGaayzkaaGaai4laiaacIcacaWGubWaaSbaaSqaaiaaikdaaeqa% aOGaaGjbVlaadsfadaWgaaWcbaGaamysaaqabaGccaGGPaaacaGL7b% GaayzFaaaaaa!5C4A! $$f(x+y-xy)+f(xy)=f(x)-f(y)=0\ \ \ \ \ (x,y \in \rm R)$$ is stable. The second is a local stability theorem for additive functions in a Banach space setting. Birkhäuser Verlag, Basel, 1996 Key words and phrases nationallicence Functional equations nationallicence Hyers-Ulam stability nationallicence Results in Mathematics Birkhäuser-Verlag 29/3-4(1996-05-01), 305-310 0378-6218 29:3-4<305 1996 29 25 https://doi.org/10.1007/BF03322226 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF03322226 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Losonczi László Department of Mathematics, Kuwait University, P.O.BOX 5969, 13060, Safat, Kuwait aut NATIONALLICENCE 773 0- Results in Mathematics Birkhäuser-Verlag 29/3-4(1996-05-01), 305-310 0378-6218 29:3-4<305 1996 29 25 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer