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PDF-INEQUALITIESINVOLVINGALOGARITHMICALLYCONVEXFUNCTION3(0xy).Application PDF document

1ay1ay1xa 1axSubstitutingy1into27andtakingintoaccountthat21and226weobtain2 6a1 1a1xa1a 1ax0x1Anotherinequality282 6aea1x1ax12a

(1+ay)(1+ay)(1+x)a (1+ax):Substitutingy=1into(2.7)andtakingintoaccountthat(2)=1and(2)=2=6weobtain2 6a1 (1+a)(1+x)a(1+a) (1+ax)(0x1).Anotherinequality(2.8)2 6aea(1x)(1+ax)1=2+a

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