设a,b,c,d>0
则1/a+1/b+1/c+1/d-1/(a+b)-1/(a+c)-1/(a+d)-1/(b+c)-1/(b+d)-1/(c+d)+1/(a+b+c)+1/(a+b+d)+1/(a+c+d)+1/(b+c+d)-1/(a+b+c+d)>=4(1+1/2+1/3+1/4)/(a+b+c+d)是否成立?
三元的情形:
1/a+1/b+1/c-1/(a+b)-1/(a+c)-1/(b+c)+1/(a+b+c)>=3(1+1/2+1/3)/(a+b+c)
如果能解决一般的n的情形就更好了。
则1/a+1/b+1/c+1/d-1/(a+b)-1/(a+c)-1/(a+d)-1/(b+c)-1/(b+d)-1/(c+d)+1/(a+b+c)+1/(a+b+d)+1/(a+c+d)+1/(b+c+d)-1/(a+b+c+d)>=4(1+1/2+1/3+1/4)/(a+b+c+d)是否成立?
三元的情形:
1/a+1/b+1/c-1/(a+b)-1/(a+c)-1/(b+c)+1/(a+b+c)>=3(1+1/2+1/3)/(a+b+c)
如果能解决一般的n的情形就更好了。