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Additive functions |
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| Authors: | Z Daróczy I Kátai |
| Institution: | (1) Department of Mathematics, Kossuth Lajos University, 4010 Debrecen, Hungary;(2) Department of Mathematics, Eötvös Loránd University, Múzeum Körút 6-8, 1088 Budapest, Hungary |
| Abstract: |      1<q<2  L:=
n=1
1/q
n=1/q–1.      0,1]         
n()=1, A
n:=
i=1
n–1
 i(x)/qi+1/n
 x
n(x)=0,  n>.    ,  =
n=1
n(x)/qn.    F: 0,L] R  , F(x)=
n=1
n(x)an, 
n=1
¦a
n¦<.    0,L].  q(1,2), .  , q(1, 2),  .  . |
| Keywords: | |
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