17/08/24 01:23:07.53 9N+3FV4m.net
>>679
(2)
ss =(aa+bb+cc)+ t + t,
s^6 ≧{(aa+bb+cc) +t +t}^3
≧ 27(aa+bb+cc)tt
≧ 81(aa+bb+cc)su,
∴(s/3)^5 ≧{(aa+bb+cc)/3}u,
〔補題196〕
(8/27)(a+b+c)^5 ≧ (a+b)(b+c)(c+a)(a+b+c)^2 ≧ 24abc(aa+bb+cc),
を使う。(じゅー)
(4)
チェビシェフで,
箔ッ順序積 ≧ 迫随㍼�積,
(左辺)≧(1/3)(a+b+c-3){1/(b+c)+1/(c+a)+1/(a+b)}≧0,