20/10/06 19:42:29.48 CqXEEU8P.net
>>946
coshθ ≧ 1,
θ/(sinhθ) = θ/∫(coshθ)dθ < 1 (θ≠0)
これに
θ = {log(s)-log(t)}/2 = log(√{s/t}),
を入れて
{log(s)-log(t)}/(s-t) ≦ 1/√(st),
>>944
更に s→1/x, t→1/y とすると
f(x,y) ≦ √xy,
∴ f(a,b) + f(b,c) + f(c,a) ≦ √ab + √bc + √ca
≦ (1/3)(√a + √b + √c)^2
= 1/3,
>>947
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